The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation
In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrödinger equation. The method is based on the local weak form and the moving least squares (MLS) approximation. For the MLS, nodal points spread over the analyz...
Saved in:
| Published in | Engineering analysis with boundary elements Vol. 32; no. 9; pp. 747 - 756 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.09.2008
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0955-7997 1873-197X |
| DOI | 10.1016/j.enganabound.2007.11.005 |
Cover
Loading…
| Abstract | In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrödinger equation. The method is based on the local weak form and the moving least squares (MLS) approximation. For the MLS, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables. A time stepping method is employed for the time derivative. To deal with the non-linearity, we use a predictor–corrector method. A very simple and efficient method is presented for evaluation the local domain integrals. Finally numerical results are presented for some examples to demonstrate the accuracy, efficiency and high rate of convergence of this method. |
|---|---|
| AbstractList | In this paper the meshless local Petrov-Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrodinger equation. The method is based on the local weak form and the moving least squares (MLS) approximation. For the MLS, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables. A time stepping method is employed for the time derivative. To deal with the non-linearity, we use a predictor-corrector method. A very simple and efficient method is presented for evaluation the local domain integrals. Finally numerical results are presented for some examples to demonstrate the accuracy, efficiency and high rate of convergence of this method. In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrödinger equation. The method is based on the local weak form and the moving least squares (MLS) approximation. For the MLS, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables. A time stepping method is employed for the time derivative. To deal with the non-linearity, we use a predictor–corrector method. A very simple and efficient method is presented for evaluation the local domain integrals. Finally numerical results are presented for some examples to demonstrate the accuracy, efficiency and high rate of convergence of this method. |
| Author | Mirzaei, Davoud Dehghan, Mehdi |
| Author_xml | – sequence: 1 givenname: Mehdi surname: Dehghan fullname: Dehghan, Mehdi email: mdehghan@aut.ac.ir – sequence: 2 givenname: Davoud surname: Mirzaei fullname: Mirzaei, Davoud email: d_mirzaei@aut.ac.ir |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20543709$$DView record in Pascal Francis |
| BookMark | eNqNkU9uUzEQhy1UJNLCHR4LpLJ4j_H77xVCUQlIQVSiSOysiT0vcXDs1nZawYo7cBcuwE04CS4pEmLVlTfffDP-_Y7ZkfOOGHvKoeLA-xfbitwaHa783umqBhgqziuA7gGb8XFoSi6GT0dsBqLrykGI4RE7jnELwBuAfsZuLjZU7ChuLMVYWK_QFueUgr_-9e37Ai2Fz8YVp--W54vnmUsbr4vJhyLlsTU5CmjNV9JFuvGlNjty0XiXHfnM0hpHGIoPahN-_tDGrSkUdLXHlJHH7OGENtKTu_eEfXx9djF_Uy7fL97OXy1L1YxtKtsB6xFGVGrCqdUchNaaOtXzSaiOWt5jrThoLnAFTT-JgVrVCuCrDoXmqjlhpwfvZfBXe4pJ7kxUZC068vsoOYx1Tq3rxow-u0Mx5himgE6ZKC-D2WH4Imvo2mYAkbmXB04FH2OgSSqT_nwqBTQ2K-VtNXIr_6lG3lYjOZd5VzaI_wx_l9xndn6YpZzataEgozLkFGkTSCWpvbmH5TdXkbaz |
| CitedBy_id | crossref_primary_10_1016_j_enganabound_2013_03_006 crossref_primary_10_1002_mma_3924 crossref_primary_10_1016_j_enganabound_2022_08_007 crossref_primary_10_1016_j_apnum_2009_12_003 crossref_primary_10_1016_j_enganabound_2009_07_007 crossref_primary_10_1140_epjp_i2019_12511_8 crossref_primary_10_1155_2016_4893724 crossref_primary_10_1016_j_apnum_2022_11_004 crossref_primary_10_1016_j_cnsns_2014_07_015 crossref_primary_10_1016_j_elstat_2011_03_005 crossref_primary_10_1016_j_enganabound_2014_11_011 crossref_primary_10_1016_j_enganabound_2009_10_010 crossref_primary_10_3390_mca24040101 crossref_primary_10_1016_j_enganabound_2017_07_012 crossref_primary_10_1016_j_cpc_2013_12_015 crossref_primary_10_1016_j_jcp_2016_10_022 crossref_primary_10_1016_j_enganabound_2015_01_004 crossref_primary_10_1016_j_enganabound_2010_07_002 crossref_primary_10_1007_s00366_019_00909_8 crossref_primary_10_4028_www_scientific_net_AMM_268_270_1888 crossref_primary_10_1140_epjp_i2015_15033_5 crossref_primary_10_1016_j_aej_2024_02_036 crossref_primary_10_1016_j_oceaneng_2014_08_007 crossref_primary_10_1016_j_enganabound_2021_03_009 crossref_primary_10_1016_j_matcom_2022_06_031 crossref_primary_10_1080_10236198_2021_2012568 crossref_primary_10_1016_j_enganabound_2013_10_013 crossref_primary_10_1080_00207160_2020_1777403 crossref_primary_10_1109_TMAG_2014_2304698 crossref_primary_10_1016_j_enganabound_2014_10_015 crossref_primary_10_1016_j_camwa_2016_03_015 crossref_primary_10_1016_j_cnsns_2014_06_039 crossref_primary_10_1007_s00607_023_01197_3 crossref_primary_10_1016_j_jcp_2020_109490 crossref_primary_10_1016_j_apnum_2010_12_004 crossref_primary_10_1016_j_amc_2018_06_043 crossref_primary_10_1016_j_amc_2014_10_033 crossref_primary_10_1016_j_jcp_2016_07_003 crossref_primary_10_1016_j_cnsns_2013_01_007 crossref_primary_10_1016_j_camwa_2019_06_011 crossref_primary_10_1016_j_apnum_2008_05_001 crossref_primary_10_1016_j_cam_2014_11_020 crossref_primary_10_1142_S0219876217500797 crossref_primary_10_1016_j_enganabound_2013_10_002 crossref_primary_10_1007_s00466_010_0521_1 crossref_primary_10_1016_j_enganabound_2011_11_007 crossref_primary_10_1016_j_cpc_2015_02_016 crossref_primary_10_1016_j_camwa_2014_07_024 crossref_primary_10_1016_j_enganabound_2014_08_014 crossref_primary_10_1016_j_cpc_2009_12_010 crossref_primary_10_1007_s40819_016_0247_7 crossref_primary_10_1016_j_enganabound_2015_10_002 crossref_primary_10_1016_j_enganabound_2012_12_002 crossref_primary_10_1016_j_compstruct_2022_115993 crossref_primary_10_1002_mma_5981 crossref_primary_10_1140_epjp_i2017_11693_3 crossref_primary_10_1016_j_amc_2022_126996 crossref_primary_10_1007_s40995_020_00864_w crossref_primary_10_1016_j_apm_2013_04_043 crossref_primary_10_1016_j_enganabound_2018_06_015 crossref_primary_10_1016_j_apnum_2017_01_015 crossref_primary_10_1016_j_asej_2015_07_009 crossref_primary_10_1016_j_cpc_2014_03_014 crossref_primary_10_1007_s00366_015_0424_z crossref_primary_10_1007_s00366_019_00835_9 crossref_primary_10_1016_j_matcom_2021_02_024 crossref_primary_10_1016_j_amc_2018_09_041 crossref_primary_10_1007_s00366_016_0489_3 crossref_primary_10_1002_num_22119 crossref_primary_10_1016_j_enganabound_2022_09_007 crossref_primary_10_1016_j_matcom_2022_04_030 crossref_primary_10_1016_j_enganabound_2015_02_005 crossref_primary_10_1002_nme_4960 crossref_primary_10_1016_j_camwa_2014_05_019 crossref_primary_10_1177_1077546315587804 crossref_primary_10_1016_j_jcp_2019_109116 crossref_primary_10_1108_03321641111168084 crossref_primary_10_1016_j_cpc_2010_10_016 crossref_primary_10_1016_j_jcp_2016_02_030 crossref_primary_10_1088_1674_1056_25_2_020203 crossref_primary_10_1007_s00366_019_00789_y crossref_primary_10_1016_j_cpc_2014_01_013 crossref_primary_10_1007_s11075_016_0103_1 crossref_primary_10_1016_j_enganabound_2014_09_008 crossref_primary_10_1016_j_matcom_2022_02_015 crossref_primary_10_1016_j_ijmecsci_2015_08_021 crossref_primary_10_1007_s00366_022_01621_w crossref_primary_10_1016_j_cam_2015_03_012 crossref_primary_10_1007_s40995_019_00763_9 crossref_primary_10_1016_j_enganabound_2015_02_012 crossref_primary_10_3934_era_2022159 crossref_primary_10_1016_j_cma_2015_11_033 crossref_primary_10_1016_j_cam_2009_11_022 crossref_primary_10_1016_j_jcp_2013_03_007 crossref_primary_10_1016_j_apnum_2024_05_003 crossref_primary_10_1016_j_chaos_2018_01_006 crossref_primary_10_1016_j_camwa_2019_11_006 crossref_primary_10_1007_s00366_016_0449_y |
| Cites_doi | 10.1090/S0025-5718-04-01631-X 10.1016/j.matcom.2005.10.001 10.1016/S0955-7997(03)00104-8 10.1002/num.20011 10.1002/num.20071 10.1016/j.enganabound.2005.12.002 10.1002/nme.1683 10.1016/j.enganabound.2005.09.002 10.1007/s00466-006-0031-3 10.1016/j.cma.2003.09.003 10.1016/j.enganabound.2006.04.008 10.1002/nme.1458 10.1007/s004660050467 10.1016/j.enganabound.2005.09.001 10.1109/50.124490 10.1016/j.cma.2006.06.011 10.1049/PBEW045E 10.1016/j.jcp.2005.02.008 10.1016/j.jcp.2004.11.010 10.1007/s00466-005-0715-0 10.1007/s004660100237 10.1016/j.cma.2007.01.014 10.1002/num.10029 10.1007/s004660050346 10.1007/s00466-004-0617-6 10.1016/j.mcm.2004.07.010 10.1016/j.camwa.2007.01.038 10.1007/s00466-004-0591-z 10.1016/j.enganabound.2006.03.003 10.1016/j.chaos.2005.11.010 10.1155/1998/38298 10.1016/0030-4018(95)00295-J 10.1016/j.enganabound.2004.12.004 10.1007/s004660050457 10.1016/j.cma.2004.06.007 10.1002/num.20055 10.1002/num.20019 10.1016/j.cam.2005.10.032 |
| ContentType | Journal Article |
| Copyright | 2007 Elsevier Ltd 2008 INIST-CNRS |
| Copyright_xml | – notice: 2007 Elsevier Ltd – notice: 2008 INIST-CNRS |
| DBID | AAYXX CITATION IQODW 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.enganabound.2007.11.005 |
| DatabaseName | CrossRef Pascal-Francis Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Physics |
| EISSN | 1873-197X |
| EndPage | 756 |
| ExternalDocumentID | 20543709 10_1016_j_enganabound_2007_11_005 S0955799707001865 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1~. 1~5 29G 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN AAYOK ABAOU ABBOA ABEFU ABFNM ABMAC ABXDB ABYKQ ACAZW ACDAQ ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADGUI ADJOM ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AI. AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HVGLF HZ~ IHE J1W JJJVA KOM LY7 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SDP SES SET SEW SPC SPCBC SST SSV SSW SSZ T5K TN5 UHS VH1 WUQ XPP ZMT ~G- AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION EFKBS IQODW 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c384t-47a2808accfaf4d109ddde5c61f9c5e416a2c10d19ab036f97e4c4901b5a9d1c3 |
| IEDL.DBID | AIKHN |
| ISSN | 0955-7997 |
| IngestDate | Fri Jul 11 09:47:34 EDT 2025 Mon Jul 21 09:10:38 EDT 2025 Thu Apr 24 22:48:36 EDT 2025 Tue Jul 01 02:31:39 EDT 2025 Fri Feb 23 02:34:33 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 9 |
| Keywords | Unit Heaviside test function Moving least square (MLS) approximation Non-linear Schrödinger equation Meshless local Petrov–Galerkin (MLPG) method Predictor-corrector methods Step method Galerkin-Petrov method Weak solution Meshless method Convergence rate Schroedinger equation Modelling Non linear effect Least square fit Meshless local Petrov-Galerkin (MLPG) method Numerical convergence |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c384t-47a2808accfaf4d109ddde5c61f9c5e416a2c10d19ab036f97e4c4901b5a9d1c3 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 1082200558 |
| PQPubID | 23500 |
| PageCount | 10 |
| ParticipantIDs | proquest_miscellaneous_1082200558 pascalfrancis_primary_20543709 crossref_citationtrail_10_1016_j_enganabound_2007_11_005 crossref_primary_10_1016_j_enganabound_2007_11_005 elsevier_sciencedirect_doi_10_1016_j_enganabound_2007_11_005 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2008-09-01 |
| PublicationDateYYYYMMDD | 2008-09-01 |
| PublicationDate_xml | – month: 09 year: 2008 text: 2008-09-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Engineering analysis with boundary elements |
| PublicationYear | 2008 |
| Publisher | Elsevier Ltd Elsevier |
| Publisher_xml | – name: Elsevier Ltd – name: Elsevier |
| References | Atluri, Shen (bib14) 2002 Antoine, Besse, Mouysett (bib7) 2004; 73 Atluri, Zhu (bib18) 1998; 3 Ĺevy M. Parabolic equation methods for electromagnetic wave propagation. IEE; 2000 [MR 2003b: 78001]. Hu, Long, Liu, Li (bib16) 2006; 30 Dehghan (bib8) 2006; 71 Atluri, Zhu (bib12) 1998; 22 Atluri (bib15) 2004 Dehghan (bib41) 2005; 41 Ma (bib26) 2005; 205 Dehghan (bib42) 2006; 21 Kalita, Chhabra, Kumar (bib9) 2006; 197 Qian, Batra (bib27) 2005; 35 Dehghan, Shokri (bib10) 2007; 54 Dehghan (bib44) 2006; 7 Atluri, Zhu (bib19) 2000; 25 Sladek, Sladek, Zhang, Schanz (bib21) 2006; 37 Barry (bib34) 2004; 28 Sladek, Sladek, Zhang, Krivacek, Wen (bib40) 2006; 67 Batra, Porfirib, Spinello (bib22) 2006; 30 Xiao, Gama, Gillespie, Kansa (bib32) 2005; 29 Raju, Phillips, Krishnamurthy (bib37) 2004; 34 Xiao (bib39) 2004; 193 Dehghan (bib45) 2006; 22 Tappert (bib3) 1977; vol. 70 Subasi (bib6) 2002; 18 Ang, Ang (bib11) 2004; 20 Sellountos, Polyzos (bib28) 2003; 4 Sladek, Sladek, Krivacek, Wen, Zhang (bib30) 2007; 196 Atluri, Kim, Cho (bib33) 1999; 24 Sladek, Sladek, Hellmich, Eberhardsteiner (bib29) 2007; 39 Sellountos, Polyzos (bib38) 2005; 164 Liu, Long, Li (bib17) 2006; 30 Arnold (bib1) 1998; 6 Long, Liu, Hu (bib25) 2006; 30 Deeks, Augarde (bib35) 2007; 196 Dehghan (bib46) 2007; 32 Sladek, Sladek, Hon (bib20) 2006; 30 Gu, Lu (bib23) 2001; 27 Vavourakis V, Polyzos D. A MLPG (LBIE) numerical method for solving 2D incompressible and nearly incompressible elastostatic problems. Commun Numer Methods Eng, in press. Li, Soric, Jarak, Atluri (bib24) 2005; 208 Kopylov, Popov, Vinogradov (bib4) 1995; 118 Pecher (bib36) 2006; 65 Dehghan (bib43) 2005; 21 Atluri, Shen (bib13) 2002; 3 Huang, Xu, Chu, Chaudhuri (bib5) 1992; 10 Atluri (10.1016/j.enganabound.2007.11.005_bib33) 1999; 24 Dehghan (10.1016/j.enganabound.2007.11.005_bib43) 2005; 21 Huang (10.1016/j.enganabound.2007.11.005_bib5) 1992; 10 Liu (10.1016/j.enganabound.2007.11.005_bib17) 2006; 30 Sladek (10.1016/j.enganabound.2007.11.005_bib30) 2007; 196 10.1016/j.enganabound.2007.11.005_bib31 Sladek (10.1016/j.enganabound.2007.11.005_bib40) 2006; 67 Tappert (10.1016/j.enganabound.2007.11.005_bib3) 1977; vol. 70 Barry (10.1016/j.enganabound.2007.11.005_bib34) 2004; 28 Deeks (10.1016/j.enganabound.2007.11.005_bib35) 2007; 196 10.1016/j.enganabound.2007.11.005_bib2 Sladek (10.1016/j.enganabound.2007.11.005_bib29) 2007; 39 Long (10.1016/j.enganabound.2007.11.005_bib25) 2006; 30 Xiao (10.1016/j.enganabound.2007.11.005_bib39) 2004; 193 Kalita (10.1016/j.enganabound.2007.11.005_bib9) 2006; 197 Ang (10.1016/j.enganabound.2007.11.005_bib11) 2004; 20 Dehghan (10.1016/j.enganabound.2007.11.005_bib10) 2007; 54 Dehghan (10.1016/j.enganabound.2007.11.005_bib45) 2006; 22 Antoine (10.1016/j.enganabound.2007.11.005_bib7) 2004; 73 Atluri (10.1016/j.enganabound.2007.11.005_bib13) 2002; 3 Sellountos (10.1016/j.enganabound.2007.11.005_bib38) 2005; 164 Arnold (10.1016/j.enganabound.2007.11.005_bib1) 1998; 6 Sladek (10.1016/j.enganabound.2007.11.005_bib20) 2006; 30 Batra (10.1016/j.enganabound.2007.11.005_bib22) 2006; 30 Subasi (10.1016/j.enganabound.2007.11.005_bib6) 2002; 18 Hu (10.1016/j.enganabound.2007.11.005_bib16) 2006; 30 Gu (10.1016/j.enganabound.2007.11.005_bib23) 2001; 27 Xiao (10.1016/j.enganabound.2007.11.005_bib32) 2005; 29 Dehghan (10.1016/j.enganabound.2007.11.005_bib8) 2006; 71 Dehghan (10.1016/j.enganabound.2007.11.005_bib44) 2006; 7 Qian (10.1016/j.enganabound.2007.11.005_bib27) 2005; 35 Dehghan (10.1016/j.enganabound.2007.11.005_bib46) 2007; 32 Atluri (10.1016/j.enganabound.2007.11.005_bib19) 2000; 25 Atluri (10.1016/j.enganabound.2007.11.005_bib15) 2004 Sladek (10.1016/j.enganabound.2007.11.005_bib21) 2006; 37 Dehghan (10.1016/j.enganabound.2007.11.005_bib42) 2006; 21 Sellountos (10.1016/j.enganabound.2007.11.005_bib28) 2003; 4 Atluri (10.1016/j.enganabound.2007.11.005_bib12) 1998; 22 Raju (10.1016/j.enganabound.2007.11.005_bib37) 2004; 34 Li (10.1016/j.enganabound.2007.11.005_bib24) 2005; 208 Atluri (10.1016/j.enganabound.2007.11.005_bib14) 2002 Atluri (10.1016/j.enganabound.2007.11.005_bib18) 1998; 3 Dehghan (10.1016/j.enganabound.2007.11.005_bib41) 2005; 41 Kopylov (10.1016/j.enganabound.2007.11.005_bib4) 1995; 118 Ma (10.1016/j.enganabound.2007.11.005_bib26) 2005; 205 Pecher (10.1016/j.enganabound.2007.11.005_bib36) 2006; 65 |
| References_xml | – volume: 28 start-page: 509 year: 2004 end-page: 523 ident: bib34 article-title: A Wachspress meshless local Petrov–Galerkin method publication-title: Eng Anal Bound Elem – volume: 25 start-page: 169 year: 2000 end-page: 179 ident: bib19 article-title: The meshless local Petrov–Galerkin (MLPG) approach for solving problems in elasto-statics publication-title: Comput Mech – reference: Ĺevy M. Parabolic equation methods for electromagnetic wave propagation. IEE; 2000 [MR 2003b: 78001]. – volume: 10 start-page: 295 year: 1992 end-page: 304 ident: bib5 article-title: The finite-difference vector beam propagation method publication-title: J Lightwave Technol – volume: 164 start-page: 859 year: 2005 end-page: 875 ident: bib38 article-title: A MLPG (LBIE) approach in combination with BEM publication-title: Comput Methods Appl Mech Eng – volume: 21 start-page: 611 year: 2006 end-page: 622 ident: bib42 article-title: Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement publication-title: Numer Methods Partial Differential Equations – volume: 22 start-page: 220 year: 2006 end-page: 257 ident: bib45 article-title: A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications publication-title: Numer Methods Partial Differential Equations – volume: 30 start-page: 949 year: 2006 end-page: 962 ident: bib22 article-title: Analysis of electrostatic MEMS using meshless local Petrov–Galerkin (MLPG) method publication-title: Eng Anal Bound Elem – volume: 30 start-page: 650 year: 2006 end-page: 661 ident: bib20 article-title: Inverse heat conduction problems by meshless local Petrov–Galerkin method publication-title: Eng Anal Bound Elem – volume: 196 start-page: 843 year: 2007 end-page: 852 ident: bib35 article-title: A hybrid meshless local Petrov–Galerkin method for unbounded domains publication-title: Comput Methods Appl Mech Eng – volume: 35 start-page: 214 year: 2005 end-page: 226 ident: bib27 article-title: Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov–Galerkin method publication-title: Comput Mech – volume: 3 start-page: 187 year: 1998 end-page: 196 ident: bib18 article-title: A new meshless local Petrov–Galerkin (MLPG) approach to nonlinear problems in computer modeling and simulation publication-title: Comput Model Simul Eng – volume: 20 start-page: 843 year: 2004 end-page: 854 ident: bib11 article-title: A dual reciprocity boundary element solution of a generalized nonlinear Schrödinger equation publication-title: Numer Methods Partial differential Equations – volume: 30 start-page: 43 year: 2006 end-page: 48 ident: bib25 article-title: A new meshless method based on MLPG for elastic dynamic problems publication-title: Eng Anal Bound Elem – volume: 67 start-page: 1830 year: 2006 end-page: 1850 ident: bib40 article-title: Analysis of orthotropic thick plates by meshless local Petrov–Galerkin (MLPG) method publication-title: Int J Numer Meth Eng – volume: 18 start-page: 752 year: 2002 end-page: 758 ident: bib6 article-title: On the finite-difference schemes for the numerical solution of two dimensional Schrödinger equation publication-title: Numer Methods Partial Differential Equations – volume: 39 start-page: 323 year: 2007 end-page: 333 ident: bib29 article-title: Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov–Galerkin method publication-title: Comput Mech – volume: 34 start-page: 464 year: 2004 end-page: 474 ident: bib37 article-title: A radial basis function approach in the meshless local Petrov–Galerkin method for Euler–Bernoulli beam problems publication-title: Comput Mech – volume: 30 start-page: 72 year: 2006 end-page: 76 ident: bib17 article-title: A simple and less-costly meshless local Petrov–Galerkin (MLPG) method for the dynamic fracture problem publication-title: Eng Anal Bound Elem – volume: vol. 70 start-page: 224 year: 1977 end-page: 287 ident: bib3 article-title: The parabolic approximation method publication-title: Wave propagation and underwater acoustics, Lecture notes in physics – volume: 193 start-page: 117 year: 2004 end-page: 138 ident: bib39 article-title: Local heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions publication-title: Comput Methods Appl Mech Eng – year: 2004 ident: bib15 article-title: The meshless method (MLPG) for domain and BIE discretizations – volume: 6 start-page: 313 year: 1998 end-page: 319 ident: bib1 article-title: Numerically absorbing boundary conditions for quantum evolution equations publication-title: VLSI Des – year: 2002 ident: bib14 article-title: The meshless local Petrov–Galerkin (MLPG) method – volume: 37 start-page: 279 year: 2006 end-page: 289 ident: bib21 article-title: Meshless local Petrov–Galerkin method for continuously nonhomogeneous linear viscoelastic solids publication-title: Comput Mech – volume: 208 start-page: 116 year: 2005 end-page: 133 ident: bib24 article-title: A locking-free meshless local Petrov–Galerkin formulation for thick and thin plates publication-title: J Comput Phys – volume: 21 start-page: 24 year: 2005 end-page: 40 ident: bib43 article-title: On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation publication-title: Numer Methods Partial Differential Equations – volume: 30 start-page: 399 year: 2006 end-page: 404 ident: bib16 article-title: A modified meshless local Petrov–Galerkin method to elasticity problems in computer modeling and simulation publication-title: Eng Anal Bound Elem – volume: 196 start-page: 2681 year: 2007 end-page: 2691 ident: bib30 article-title: Meshless local Petrov–Galerkin (MLPG) method for Reissner–Mindlin plates under dynamic load publication-title: Comput Methods Appl Mech Eng – volume: 24 start-page: 348 year: 1999 end-page: 372 ident: bib33 article-title: A critical assessment of the truly meshless local Petrov–Galerkin (MLPG) and local boundary integral equation (LBIE) methods publication-title: Comput Mech – volume: 118 start-page: 619 year: 1995 end-page: 636 ident: bib4 article-title: Application of the parabolic wave equation to X-ray diffraction optics publication-title: Opt Commun – volume: 71 start-page: 16 year: 2006 end-page: 30 ident: bib8 article-title: Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices publication-title: Math Comput Simul – reference: Vavourakis V, Polyzos D. A MLPG (LBIE) numerical method for solving 2D incompressible and nearly incompressible elastostatic problems. Commun Numer Methods Eng, in press. – volume: 3 start-page: 11 year: 2002 end-page: 51 ident: bib13 article-title: The meshless local Petrov–Galerkin (MLPG) method: a simple and less-costly alternative to the finite element and boundary element methods publication-title: CMES: Comput Modeling Eng Sci – volume: 32 start-page: 661 year: 2007 end-page: 675 ident: bib46 article-title: The one-dimensional heat equation subject to a boundary integral specification publication-title: Chaos Solitons Fract – volume: 54 start-page: 136 year: 2007 end-page: 146 ident: bib10 article-title: A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions publication-title: Comput Math Appl – volume: 29 start-page: 95 year: 2005 end-page: 106 ident: bib32 article-title: Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions publication-title: Eng Anal Bound Elem – volume: 22 start-page: 117 year: 1998 end-page: 127 ident: bib12 article-title: A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics publication-title: Comput Mech – volume: 205 start-page: 611 year: 2005 end-page: 625 ident: bib26 article-title: Meshless local Petrov–Galerkin method for two-dimensional nonlinear water wave problems publication-title: J Comput Phys – volume: 73 start-page: 1779 year: 2004 end-page: 1799 ident: bib7 article-title: Numerical schemes for the simulation of the two-dimensional Schrodinger equation using non-reflecting boundary conditions publication-title: Math Comput – volume: 65 start-page: 566 year: 2006 end-page: 593 ident: bib36 article-title: Efficient cubature formulae for MLPG and related methods publication-title: Int J Numer Meth Eng – volume: 41 start-page: 196 year: 2005 end-page: 213 ident: bib41 article-title: Parameter determination in a partial differential equation from the overspecified data publication-title: Math Comput Modelling – volume: 197 start-page: 141 year: 2006 end-page: 149 ident: bib9 article-title: A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrodinger equation publication-title: J Comput Appl Math – volume: 4 start-page: 619 year: 2003 end-page: 639 ident: bib28 article-title: A MLPG (LBIE) method for solving frequency domain elastic problems publication-title: Comput Model Eng Sci – volume: 7 start-page: 447 year: 2006 end-page: 450 ident: bib44 article-title: Implicit collocation technique for heat equation with non-classic initial condition publication-title: Int J Non-Linear Sci Numer Simulation – volume: 27 start-page: 188 year: 2001 end-page: 198 ident: bib23 article-title: A meshless local Petrov–Galerkin method for free and forced vibration analyses for solids publication-title: Comput Mech – volume: 73 start-page: 1779 year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib7 article-title: Numerical schemes for the simulation of the two-dimensional Schrodinger equation using non-reflecting boundary conditions publication-title: Math Comput doi: 10.1090/S0025-5718-04-01631-X – volume: 71 start-page: 16 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib8 article-title: Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices publication-title: Math Comput Simul doi: 10.1016/j.matcom.2005.10.001 – volume: 28 start-page: 509 year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib34 article-title: A Wachspress meshless local Petrov–Galerkin method publication-title: Eng Anal Bound Elem doi: 10.1016/S0955-7997(03)00104-8 – volume: 20 start-page: 843 year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib11 article-title: A dual reciprocity boundary element solution of a generalized nonlinear Schrödinger equation publication-title: Numer Methods Partial differential Equations doi: 10.1002/num.20011 – volume: 7 start-page: 447 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib44 article-title: Implicit collocation technique for heat equation with non-classic initial condition publication-title: Int J Non-Linear Sci Numer Simulation – volume: 22 start-page: 220 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib45 article-title: A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications publication-title: Numer Methods Partial Differential Equations doi: 10.1002/num.20071 – volume: 30 start-page: 399 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib16 article-title: A modified meshless local Petrov–Galerkin method to elasticity problems in computer modeling and simulation publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2005.12.002 – volume: 67 start-page: 1830 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib40 article-title: Analysis of orthotropic thick plates by meshless local Petrov–Galerkin (MLPG) method publication-title: Int J Numer Meth Eng doi: 10.1002/nme.1683 – volume: 30 start-page: 72 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib17 article-title: A simple and less-costly meshless local Petrov–Galerkin (MLPG) method for the dynamic fracture problem publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2005.09.002 – volume: 39 start-page: 323 year: 2007 ident: 10.1016/j.enganabound.2007.11.005_bib29 article-title: Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov–Galerkin method publication-title: Comput Mech doi: 10.1007/s00466-006-0031-3 – volume: 193 start-page: 117 year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib39 article-title: Local heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2003.09.003 – volume: 30 start-page: 949 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib22 article-title: Analysis of electrostatic MEMS using meshless local Petrov–Galerkin (MLPG) method publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2006.04.008 – volume: 65 start-page: 566 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib36 article-title: Efficient cubature formulae for MLPG and related methods publication-title: Int J Numer Meth Eng doi: 10.1002/nme.1458 – volume: 25 start-page: 169 year: 2000 ident: 10.1016/j.enganabound.2007.11.005_bib19 article-title: The meshless local Petrov–Galerkin (MLPG) approach for solving problems in elasto-statics publication-title: Comput Mech doi: 10.1007/s004660050467 – volume: 30 start-page: 43 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib25 article-title: A new meshless method based on MLPG for elastic dynamic problems publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2005.09.001 – volume: vol. 70 start-page: 224 year: 1977 ident: 10.1016/j.enganabound.2007.11.005_bib3 article-title: The parabolic approximation method – volume: 10 start-page: 295 issue: 3 year: 1992 ident: 10.1016/j.enganabound.2007.11.005_bib5 article-title: The finite-difference vector beam propagation method publication-title: J Lightwave Technol doi: 10.1109/50.124490 – volume: 3 start-page: 11 issue: 1 year: 2002 ident: 10.1016/j.enganabound.2007.11.005_bib13 article-title: The meshless local Petrov–Galerkin (MLPG) method: a simple and less-costly alternative to the finite element and boundary element methods publication-title: CMES: Comput Modeling Eng Sci – volume: 3 start-page: 187 year: 1998 ident: 10.1016/j.enganabound.2007.11.005_bib18 article-title: A new meshless local Petrov–Galerkin (MLPG) approach to nonlinear problems in computer modeling and simulation publication-title: Comput Model Simul Eng – volume: 196 start-page: 843 year: 2007 ident: 10.1016/j.enganabound.2007.11.005_bib35 article-title: A hybrid meshless local Petrov–Galerkin method for unbounded domains publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2006.06.011 – ident: 10.1016/j.enganabound.2007.11.005_bib2 doi: 10.1049/PBEW045E – volume: 208 start-page: 116 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib24 article-title: A locking-free meshless local Petrov–Galerkin formulation for thick and thin plates publication-title: J Comput Phys doi: 10.1016/j.jcp.2005.02.008 – volume: 205 start-page: 611 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib26 article-title: Meshless local Petrov–Galerkin method for two-dimensional nonlinear water wave problems publication-title: J Comput Phys doi: 10.1016/j.jcp.2004.11.010 – volume: 37 start-page: 279 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib21 article-title: Meshless local Petrov–Galerkin method for continuously nonhomogeneous linear viscoelastic solids publication-title: Comput Mech doi: 10.1007/s00466-005-0715-0 – volume: 27 start-page: 188 year: 2001 ident: 10.1016/j.enganabound.2007.11.005_bib23 article-title: A meshless local Petrov–Galerkin method for free and forced vibration analyses for solids publication-title: Comput Mech doi: 10.1007/s004660100237 – volume: 196 start-page: 2681 year: 2007 ident: 10.1016/j.enganabound.2007.11.005_bib30 article-title: Meshless local Petrov–Galerkin (MLPG) method for Reissner–Mindlin plates under dynamic load publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2007.01.014 – volume: 18 start-page: 752 year: 2002 ident: 10.1016/j.enganabound.2007.11.005_bib6 article-title: On the finite-difference schemes for the numerical solution of two dimensional Schrödinger equation publication-title: Numer Methods Partial Differential Equations doi: 10.1002/num.10029 – volume: 22 start-page: 117 year: 1998 ident: 10.1016/j.enganabound.2007.11.005_bib12 article-title: A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics publication-title: Comput Mech doi: 10.1007/s004660050346 – volume: 35 start-page: 214 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib27 article-title: Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov–Galerkin method publication-title: Comput Mech doi: 10.1007/s00466-004-0617-6 – volume: 41 start-page: 196 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib41 article-title: Parameter determination in a partial differential equation from the overspecified data publication-title: Math Comput Modelling doi: 10.1016/j.mcm.2004.07.010 – year: 2002 ident: 10.1016/j.enganabound.2007.11.005_bib14 – volume: 54 start-page: 136 year: 2007 ident: 10.1016/j.enganabound.2007.11.005_bib10 article-title: A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions publication-title: Comput Math Appl doi: 10.1016/j.camwa.2007.01.038 – volume: 34 start-page: 464 year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib37 article-title: A radial basis function approach in the meshless local Petrov–Galerkin method for Euler–Bernoulli beam problems publication-title: Comput Mech doi: 10.1007/s00466-004-0591-z – year: 2004 ident: 10.1016/j.enganabound.2007.11.005_bib15 – volume: 4 start-page: 619 issue: 16 year: 2003 ident: 10.1016/j.enganabound.2007.11.005_bib28 article-title: A MLPG (LBIE) method for solving frequency domain elastic problems publication-title: Comput Model Eng Sci – volume: 30 start-page: 650 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib20 article-title: Inverse heat conduction problems by meshless local Petrov–Galerkin method publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2006.03.003 – volume: 32 start-page: 661 year: 2007 ident: 10.1016/j.enganabound.2007.11.005_bib46 article-title: The one-dimensional heat equation subject to a boundary integral specification publication-title: Chaos Solitons Fract doi: 10.1016/j.chaos.2005.11.010 – volume: 6 start-page: 313 year: 1998 ident: 10.1016/j.enganabound.2007.11.005_bib1 article-title: Numerically absorbing boundary conditions for quantum evolution equations publication-title: VLSI Des doi: 10.1155/1998/38298 – volume: 118 start-page: 619 year: 1995 ident: 10.1016/j.enganabound.2007.11.005_bib4 article-title: Application of the parabolic wave equation to X-ray diffraction optics publication-title: Opt Commun doi: 10.1016/0030-4018(95)00295-J – volume: 29 start-page: 95 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib32 article-title: Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2004.12.004 – volume: 24 start-page: 348 year: 1999 ident: 10.1016/j.enganabound.2007.11.005_bib33 article-title: A critical assessment of the truly meshless local Petrov–Galerkin (MLPG) and local boundary integral equation (LBIE) methods publication-title: Comput Mech doi: 10.1007/s004660050457 – volume: 164 start-page: 859 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib38 article-title: A MLPG (LBIE) approach in combination with BEM publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2004.06.007 – volume: 21 start-page: 611 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib42 article-title: Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement publication-title: Numer Methods Partial Differential Equations doi: 10.1002/num.20055 – ident: 10.1016/j.enganabound.2007.11.005_bib31 – volume: 21 start-page: 24 year: 2005 ident: 10.1016/j.enganabound.2007.11.005_bib43 article-title: On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation publication-title: Numer Methods Partial Differential Equations doi: 10.1002/num.20019 – volume: 197 start-page: 141 year: 2006 ident: 10.1016/j.enganabound.2007.11.005_bib9 article-title: A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrodinger equation publication-title: J Comput Appl Math doi: 10.1016/j.cam.2005.10.032 |
| SSID | ssj0013006 |
| Score | 2.1959603 |
| Snippet | In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrödinger equation.... In this paper the meshless local Petrov-Galerkin (MLPG) method is presented for the numerical solution of the two-dimensional non-linear Schrodinger equation.... |
| SourceID | proquest pascalfrancis crossref elsevier |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 747 |
| SubjectTerms | Approximation Boundary-integral methods Computational techniques Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical methods in physics Mathematical models Meshless local Petrov–Galerkin (MLPG) method Meshless methods Moving least square (MLS) approximation Non-linear Schrödinger equation Nonlinearity Physics Schroedinger equation Two dimensional Unit Heaviside test function |
| Title | The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation |
| URI | https://dx.doi.org/10.1016/j.enganabound.2007.11.005 https://www.proquest.com/docview/1082200558 |
| Volume | 32 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dahQxFD70B0QRqX-4VpcUvNCLuPOTmUygN6XYrq4tYi32bshkknalzq672xZ6Ib5D36Uv4Jv4JD1nMtMf9KLg1cAwISHnzPlOkpPvA3gVFEYjsobcOWe40DrmCAoJN8oJQ4x1MqILzlvbaX9XfNhL9uZgvb0LQ2WVTez3Mb2O1s2bXjObvfFw2Nsh8jSplAzo6DRLk3lYjGKVomsvrr0f9LevDhOCWmKTvufU4A6sXJV52WpfV1QEXJWe0JA4PUnM7t8wdX-spzh5zqte_BXAa1TaWIIHTTrJ1vyIH8KcrR7BvWskg4_hBD2BfbfTg0MMaqzGLkY6WqPjP7_ONhEfaLecvd76-GnzDfOC0gwzWYaZIdv3pNTDU1uy2cmIl6QF4Hk8WDWqOOWoesJ2zMHk93lZ7xAy-8Ozhz-B3Y13X9b7vJFb4CbOxIwLqaMsyLQxTjtRhoEqMfYlJg2dMonFzE1HJgzKUOkCcc8paYURmE8UiVZlaOKnsIBd22fACimsiA0uVzJNV2-J1Q8Xe-gtTiapkB3I2tnNTcNFTpIYh3lbdPYtv2YY0sqUuFbJ0TAdiC6bjj0hx20arbYmzG94V47AcZvm3Rtmv-w4woQ3loHqwErrBzn-nnTmois7OpoS_2pEG3dJ9vz_xrAMd9tSlSB8AQuzyZF9ifnQrOjC_NufYbfxenoOPn8dXAAHkREs |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dShwxFD5YC61SSv_Eta1G6EV7ke78ZDYT6I1IdW13paCCd0Mmk-iKzq67q4IXpe_Qd-kL9E18kp4zmfGH9kLo7TAhIefkfCfJyfcBvAtyoxFZQ-6cM1xoHXMEhYQb5YQhxjoZ0QPn_nanuye-7Cf7M7DevIWhsso69vuYXkXr-ku7ns32aDBo7xB5mlRKBnR1mnaSB_BQ4PKl1fnxe3hzlRBUApv0N6ffH8HqTZGXLQ90SSXAZeHpDInRk6Ts_g1ST0Z6glPnvObFX-G7wqSNZ_C0TibZmh_vc5ix5QuYv0Ux-BIu0A_YiZ0cHmNIYxVyMVLRGp5f_fi5iehAZ-Xsfb_3bfMD83LSDPNYhnkhO_CU1INLW7DpxZAXpATgWTxYOSw5Zah6zHbM4fj3r6I6H2T21HOHv4K9jc-7611eiy1wE6diyoXUURqk2hinnSjCQBUY-RLTCZ0yicW8TUcmDIpQ6RxRzylphRGYTeSJVkVo4gWYxa7tIrBcCitig5uVVNPDW-L0w60e-oqTSUfIFqTN7GamZiInQYzjrCk5O8puGYaUMiXuVDI0TAui66YjT8dxn0afGhNmd3wrQ9i4T_PlO2a_7jjCdDeWgWrBauMHGS5OunHRpR2eTYh9NaJjuyRd-r8xrMDj7m6_l_W2tr--hrmmaCUI38DsdHxm32JmNM2XK8__A8jZEE0 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+meshless+local+Petrov-Galerkin+%28MLPG%29+method+for+the+generalized+two-dimensional+non-linear+Schrodinger+equation&rft.jtitle=Engineering+analysis+with+boundary+elements&rft.au=Dehghan%2C+M&rft.au=Mirzaei%2C+D&rft.date=2008-09-01&rft.issn=0955-7997&rft.volume=32&rft.issue=9&rft.spage=747&rft.epage=756&rft_id=info:doi/10.1016%2Fj.enganabound.2007.11.005&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0955-7997&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0955-7997&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0955-7997&client=summon |