New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations
In this paper, new group iterative numerical schemes based on the centred and rotated (skewed) seven-point finite difference discretisations are proposed for the solution of a three dimensional second order hyperbolic telegraph equation, subject to specific initial and Dirichlet boundary conditions....
Saved in:
| Published in | Journal of computational physics Vol. 294; pp. 382 - 404 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.08.2015
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0021-9991 1090-2716 |
| DOI | 10.1016/j.jcp.2015.03.052 |
Cover
Loading…
| Abstract | In this paper, new group iterative numerical schemes based on the centred and rotated (skewed) seven-point finite difference discretisations are proposed for the solution of a three dimensional second order hyperbolic telegraph equation, subject to specific initial and Dirichlet boundary conditions. Both schemes are shown to be of second order accuracies and unconditionally stable. The scheme derived from the rotated grid stencil results in a reduced linear system with lower computational complexity compared to the scheme derived from the centred approximation formula. A comparative study with other common point iterative methods based on the seven-point centred difference approximation together with their computational complexity analyses is also presented. |
|---|---|
| AbstractList | In this paper, new group iterative numerical schemes based on the centred and rotated (skewed) seven-point finite difference discretisations are proposed for the solution of a three dimensional second order hyperbolic telegraph equation, subject to specific initial and Dirichlet boundary conditions. Both schemes are shown to be of second order accuracies and unconditionally stable. The scheme derived from the rotated grid stencil results in a reduced linear system with lower computational complexity compared to the scheme derived from the centred approximation formula. A comparative study with other common point iterative methods based on the seven-point centred difference approximation together with their computational complexity analyses is also presented. |
| Author | Ali, Norhashidah Hj. Mohd Kew, Lee Ming |
| Author_xml | – sequence: 1 givenname: Lee Ming surname: Kew fullname: Kew, Lee Ming email: leeming_kew@hotmail.com – sequence: 2 givenname: Norhashidah Hj. Mohd orcidid: 0000-0002-2060-611X surname: Ali fullname: Ali, Norhashidah Hj. Mohd email: shidah_ali@usm.my |
| BookMark | eNp9kE9P3DAQxa2KSl0oH4Cbj1wSxvlnWz0hRAEJ0Us5W44zJl5l42A7UL493i4nDpxGM3q_p3nvmBzNfkZCzhiUDFh3sS23ZikrYG0JdQlt9Y1sGEgoKs66I7IBqFghpWQ_yHGMWwAQbSM2ZHzAV4r_lskZl-hT8OtCXcKgk3tBusM0-iFSN9M0Io1-WpPzM_U27wGRDm6Hc8wnPdHxbcHQ--xEE074FPQyUnxe9R6JP8l3q6eIpx_zhDz-vv57dVvc_7m5u7q8L0xdQypM38q-MjlAz63kokfObCe6vmZGoGWDNI1FI3VTDcgFH3rL2lbIQdedrVDUJ-T84LsE_7xiTGrnosFp0jP6NSrGmZAcoGmylB-kJvgYA1qVO_j_bQraTYqB2nertip3q_bdKqhVfi2T7BO5BLfT4e1L5teBwZz-xWFQ0TicDQ4uoElq8O4L-h18_Zb9 |
| CitedBy_id | crossref_primary_10_1080_23311835_2017_1412241 crossref_primary_10_1016_j_aej_2021_01_008 crossref_primary_10_3934_math_2022868 crossref_primary_10_1016_j_camwa_2016_08_003 crossref_primary_10_3934_math_2023416 crossref_primary_10_1186_s13662_019_2238_6 crossref_primary_10_1186_s13662_020_02717_7 crossref_primary_10_1186_s13662_020_03061_6 crossref_primary_10_3934_math_2022134 crossref_primary_10_3934_math_2023697 crossref_primary_10_1016_j_camwa_2018_02_018 crossref_primary_10_1007_s40995_024_01659_z crossref_primary_10_1016_j_amc_2017_06_015 crossref_primary_10_1002_num_22744 crossref_primary_10_1515_ijnsns_2020_0166 crossref_primary_10_1007_s12190_024_02321_y crossref_primary_10_3390_sym13112078 |
| Cites_doi | 10.1002/num.20442 10.1002/num.1034 10.1080/00207160801965271 10.1002/num.20341 10.1002/num.20306 10.1080/0020716031000112312 10.1002/num.20357 10.1016/j.amc.2006.09.057 10.1016/j.jcp.2012.06.025 10.1016/j.amc.2003.12.135 10.1016/j.matcom.2005.10.001 10.1080/00207160211918 10.1002/num.20382 10.1016/j.enganabound.2009.10.010 10.1016/S0096-3003(03)00595-2 10.1002/num.20295 10.1155/S1048953398000021 10.1016/S0893-9659(04)90019-5 10.1063/1.369258 |
| ContentType | Journal Article |
| Copyright | 2015 Elsevier Inc. |
| Copyright_xml | – notice: 2015 Elsevier Inc. |
| DBID | AAYXX CITATION 7SC 7SP 7U5 8FD JQ2 L7M L~C L~D |
| DOI | 10.1016/j.jcp.2015.03.052 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Electronics & Communications Abstracts Solid State and Superconductivity Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences |
| EISSN | 1090-2716 |
| EndPage | 404 |
| ExternalDocumentID | 10_1016_j_jcp_2015_03_052 S0021999115002077 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 6OB 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO AAYFN ABBOA ABFRF ABJNI ABMAC ABNEU ABYKQ ACBEA ACDAQ ACFVG ACGFO ACGFS ACNCT ACRLP ACZNC ADBBV ADEZE AEBSH AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHZHX AIALX AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD AXJTR BKOJK BLXMC CS3 DM4 DU5 EBS EFBJH EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HLZ HVGLF IHE J1W K-O KOM LG5 LX9 LZ4 M37 M41 MO0 N9A O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SPD SSQ SSV SSZ T5K TN5 UPT YQT ZMT ZU3 ~02 ~G- 29K 6TJ 8WZ A6W AAQXK AATTM AAXKI AAYWO AAYXX ABFNM ABWVN ABXDB ACNNM ACRPL ACVFH ADCNI ADFGL ADIYS ADJOM ADMUD ADNMO AEIPS AEUPX AFFNX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN BBWZM BNPGV CAG CITATION COF D-I FGOYB G-2 HME HMV HZ~ NDZJH R2- SBC SEW SHN SPG SSH T9H UQL WUQ ZY4 7SC 7SP 7U5 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c330t-cb59b2c052b7f978be71f686b31c8ef1d9c4fec9a42de787dbf15589da36f2e83 |
| IEDL.DBID | .~1 |
| ISSN | 0021-9991 |
| IngestDate | Thu Jul 10 18:08:49 EDT 2025 Tue Jul 01 01:54:26 EDT 2025 Thu Apr 24 23:12:48 EDT 2025 Fri Feb 23 02:18:53 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Explicit group methods Finite difference Rotated grids Three dimensional telegraph equations Unconditionally stable |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c330t-cb59b2c052b7f978be71f686b31c8ef1d9c4fec9a42de787dbf15589da36f2e83 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0000-0002-2060-611X |
| PQID | 1718970044 |
| PQPubID | 23500 |
| PageCount | 23 |
| ParticipantIDs | proquest_miscellaneous_1718970044 crossref_citationtrail_10_1016_j_jcp_2015_03_052 crossref_primary_10_1016_j_jcp_2015_03_052 elsevier_sciencedirect_doi_10_1016_j_jcp_2015_03_052 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2015-08-01 2015-08-00 20150801 |
| PublicationDateYYYYMMDD | 2015-08-01 |
| PublicationDate_xml | – month: 08 year: 2015 text: 2015-08-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Journal of computational physics |
| PublicationYear | 2015 |
| Publisher | Elsevier Inc |
| Publisher_xml | – name: Elsevier Inc |
| References | Dehghan, Mohebbi (br0050) 2008; 24 Boyce, DiPrima (br0010) 1977 Jain (br0260) 1987 Dehghan, Shokri (br0090) 2008; 24 Evans, Bulut (br0140) 2003; 80 Jordan, Puri (br0020) 1999; 85 Evans (br0110) 1995; 56 Evans (br0120) 1997 Mohanty (br0160) 2005; 162 Gao, Chi (br0130) 2007; 187 Mohanty (br0150) 2004; 152 Dehghan, Mohebbi (br0070) 2009; 25 Mohanty, Jain (br0200) 2001; 17 Banasiak, Mika (br0030) 1998; 11 Dehghan, Ghesmati (br0100) 2010; 34 Ali, Kew (br0220) 2012; 231 Strikwerda (br0250) 2004 Mohanty (br0190) 2004; 17 Kew, Ali (br0230) 2010 Mohanty (br0170) 2009; 86 Smith (br0240) 1978 Dehghan, Lakestani (br0060) 2009; 25 Saadatmandi, Dehghan (br0180) 2010; 26 Dehghan (br0040) 2006; 71 Mohanty, Jain, Arora (br0210) 2002; 79 Dehghan, Shokri (br0080) 2008; 25 Mohanty (10.1016/j.jcp.2015.03.052_br0210) 2002; 79 Smith (10.1016/j.jcp.2015.03.052_br0240) 1978 Jain (10.1016/j.jcp.2015.03.052_br0260) 1987 Jordan (10.1016/j.jcp.2015.03.052_br0020) 1999; 85 Banasiak (10.1016/j.jcp.2015.03.052_br0030) 1998; 11 Evans (10.1016/j.jcp.2015.03.052_br0110) 1995; 56 Boyce (10.1016/j.jcp.2015.03.052_br0010) 1977 Saadatmandi (10.1016/j.jcp.2015.03.052_br0180) 2010; 26 Ali (10.1016/j.jcp.2015.03.052_br0220) 2012; 231 Mohanty (10.1016/j.jcp.2015.03.052_br0170) 2009; 86 Dehghan (10.1016/j.jcp.2015.03.052_br0050) 2008; 24 Dehghan (10.1016/j.jcp.2015.03.052_br0090) 2008; 24 Strikwerda (10.1016/j.jcp.2015.03.052_br0250) 2004 Dehghan (10.1016/j.jcp.2015.03.052_br0070) 2009; 25 Dehghan (10.1016/j.jcp.2015.03.052_br0100) 2010; 34 Dehghan (10.1016/j.jcp.2015.03.052_br0080) 2008; 25 Mohanty (10.1016/j.jcp.2015.03.052_br0150) 2004; 152 Mohanty (10.1016/j.jcp.2015.03.052_br0190) 2004; 17 Evans (10.1016/j.jcp.2015.03.052_br0120) 1997 Mohanty (10.1016/j.jcp.2015.03.052_br0200) 2001; 17 Gao (10.1016/j.jcp.2015.03.052_br0130) 2007; 187 Mohanty (10.1016/j.jcp.2015.03.052_br0160) 2005; 162 Kew (10.1016/j.jcp.2015.03.052_br0230) 2010 Dehghan (10.1016/j.jcp.2015.03.052_br0060) 2009; 25 Evans (10.1016/j.jcp.2015.03.052_br0140) 2003; 80 Dehghan (10.1016/j.jcp.2015.03.052_br0040) 2006; 71 |
| References_xml | – volume: 25 start-page: 232 year: 2009 end-page: 243 ident: br0070 article-title: High order implicit collocation method for the solution of two dimensional linear hyperbolic equation publication-title: Numer. Methods Partial Differ. Equ. – volume: 34 start-page: 324 year: 2010 end-page: 336 ident: br0100 article-title: Combination of meshless local weak and strong (MLWS) forms to solve the two dimensional hyperbolic telegraph equation publication-title: Eng. Anal. Bound. Elem. – volume: 11 start-page: 9 year: 1998 end-page: 28 ident: br0030 article-title: Singularly perturbed telegraph equations with applications in the random walk theory publication-title: J. Appl. Math. Stoch. Anal. – year: 2004 ident: br0250 article-title: Finite Difference Schemes and Partial Differential Equations – volume: 24 start-page: 1080 year: 2008 end-page: 1093 ident: br0090 article-title: A numerical method for solving the hyperbolic telegraph equation publication-title: Numer. Methods Partial Differ. Equ. – year: 1977 ident: br0010 article-title: Differential Equations Elementary and Boundary Value Problems – volume: 71 start-page: 16 year: 2006 end-page: 30 ident: br0040 article-title: Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices publication-title: Math. Comput. Simul. – volume: 25 start-page: 494 year: 2008 end-page: 506 ident: br0080 article-title: A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions publication-title: Numer. Methods Partial Differ. Equ. – volume: 79 start-page: 133 year: 2002 end-page: 142 ident: br0210 article-title: An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions publication-title: Int. J. Comput. Math. – year: 1978 ident: br0240 article-title: Numerical Solution of Partial Differential Equations: Finite Difference Methods – volume: 85 start-page: 1273 year: 1999 end-page: 1282 ident: br0020 article-title: Digital signal propagation in dispersive media publication-title: J. Appl. Phys. – volume: 80 start-page: 1289 year: 2003 end-page: 1297 ident: br0140 article-title: The numerical solution of the telegraph equation by the alternating group explicit (AGE) method publication-title: Int. J. Comput. Math. – year: 1997 ident: br0120 article-title: Group Explicit Methods for the Numerical Solution of Partial Differential Equations – volume: 162 start-page: 549 year: 2005 end-page: 557 ident: br0160 article-title: An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients publication-title: Appl. Math. Comput. – volume: 86 start-page: 2061 year: 2009 end-page: 2071 ident: br0170 article-title: New unconditionally stable difference scheme for the solution of multi-dimensional telegraphic equations publication-title: Int. J. Comput. Math. – volume: 56 start-page: 245 year: 1995 end-page: 252 ident: br0110 article-title: Group explicit methods for the numerical solution of first-order hyperbolic problems in one dependent variable publication-title: Int. J. Comput. Math. – volume: 152 start-page: 799 year: 2004 end-page: 806 ident: br0150 article-title: An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions publication-title: Appl. Math. Comput. – volume: 26 start-page: 239 year: 2010 end-page: 252 ident: br0180 article-title: Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method publication-title: Numer. Methods Partial Differ. Equ. – year: 1987 ident: br0260 article-title: Numerical Solution of Differential Equations – volume: 17 start-page: 684 year: 2001 end-page: 688 ident: br0200 article-title: An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation publication-title: Numer. Methods Partial Differ. Equ. – volume: 231 start-page: 6953 year: 2012 end-page: 6968 ident: br0220 article-title: New explicit group iterative methods in the solution of two dimensional hyperbolic equations publication-title: J. Comput. Phys. – volume: 25 start-page: 931 year: 2009 end-page: 938 ident: br0060 article-title: The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation publication-title: Numer. Methods Partial Differ. Equ. – volume: 17 start-page: 101 year: 2004 end-page: 105 ident: br0190 article-title: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation publication-title: Appl. Math. Lett. – volume: 187 start-page: 1272 year: 2007 end-page: 1276 ident: br0130 article-title: Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation publication-title: Appl. Math. Comput. – start-page: 1770 year: 2010 end-page: 1775 ident: br0230 article-title: Explicit group iterative methods for the solution of telegraph equations publication-title: The 2010 International Conference of Applied and Engineering Mathematics World Congress on Engineering 2010 – volume: 24 start-page: 897 year: 2008 end-page: 910 ident: br0050 article-title: The combination of collocation finite difference and multigrid methods for solution of the two-dimensional wave equation publication-title: Numer. Methods Partial Differ. Equ. – year: 1987 ident: 10.1016/j.jcp.2015.03.052_br0260 – volume: 26 start-page: 239 year: 2010 ident: 10.1016/j.jcp.2015.03.052_br0180 article-title: Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20442 – volume: 17 start-page: 684 issue: 6 year: 2001 ident: 10.1016/j.jcp.2015.03.052_br0200 article-title: An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.1034 – volume: 86 start-page: 2061 issue: 12 year: 2009 ident: 10.1016/j.jcp.2015.03.052_br0170 article-title: New unconditionally stable difference scheme for the solution of multi-dimensional telegraphic equations publication-title: Int. J. Comput. Math. doi: 10.1080/00207160801965271 – volume: 25 start-page: 232 issue: 1 year: 2009 ident: 10.1016/j.jcp.2015.03.052_br0070 article-title: High order implicit collocation method for the solution of two dimensional linear hyperbolic equation publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20341 – volume: 24 start-page: 1080 year: 2008 ident: 10.1016/j.jcp.2015.03.052_br0090 article-title: A numerical method for solving the hyperbolic telegraph equation publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20306 – volume: 80 start-page: 1289 issue: 10 year: 2003 ident: 10.1016/j.jcp.2015.03.052_br0140 article-title: The numerical solution of the telegraph equation by the alternating group explicit (AGE) method publication-title: Int. J. Comput. Math. doi: 10.1080/0020716031000112312 – volume: 25 start-page: 494 year: 2008 ident: 10.1016/j.jcp.2015.03.052_br0080 article-title: A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20357 – year: 1978 ident: 10.1016/j.jcp.2015.03.052_br0240 – year: 2004 ident: 10.1016/j.jcp.2015.03.052_br0250 – volume: 187 start-page: 1272 year: 2007 ident: 10.1016/j.jcp.2015.03.052_br0130 article-title: Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2006.09.057 – volume: 231 start-page: 6953 year: 2012 ident: 10.1016/j.jcp.2015.03.052_br0220 article-title: New explicit group iterative methods in the solution of two dimensional hyperbolic equations publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2012.06.025 – year: 1977 ident: 10.1016/j.jcp.2015.03.052_br0010 – volume: 162 start-page: 549 year: 2005 ident: 10.1016/j.jcp.2015.03.052_br0160 article-title: An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2003.12.135 – volume: 71 start-page: 16 year: 2006 ident: 10.1016/j.jcp.2015.03.052_br0040 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: 79 start-page: 133 year: 2002 ident: 10.1016/j.jcp.2015.03.052_br0210 article-title: An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions publication-title: Int. J. Comput. Math. doi: 10.1080/00207160211918 – start-page: 1770 year: 2010 ident: 10.1016/j.jcp.2015.03.052_br0230 article-title: Explicit group iterative methods for the solution of telegraph equations – volume: 25 start-page: 931 year: 2009 ident: 10.1016/j.jcp.2015.03.052_br0060 article-title: The use of Chebyshev cardinal functions for solution of the second-order one-dimensional telegraph equation publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20382 – volume: 34 start-page: 324 issue: 4 year: 2010 ident: 10.1016/j.jcp.2015.03.052_br0100 article-title: Combination of meshless local weak and strong (MLWS) forms to solve the two dimensional hyperbolic telegraph equation publication-title: Eng. Anal. Bound. Elem. doi: 10.1016/j.enganabound.2009.10.010 – volume: 152 start-page: 799 year: 2004 ident: 10.1016/j.jcp.2015.03.052_br0150 article-title: An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions publication-title: Appl. Math. Comput. doi: 10.1016/S0096-3003(03)00595-2 – volume: 24 start-page: 897 year: 2008 ident: 10.1016/j.jcp.2015.03.052_br0050 article-title: The combination of collocation finite difference and multigrid methods for solution of the two-dimensional wave equation publication-title: Numer. Methods Partial Differ. Equ. doi: 10.1002/num.20295 – year: 1997 ident: 10.1016/j.jcp.2015.03.052_br0120 – volume: 56 start-page: 245 issue: 3 year: 1995 ident: 10.1016/j.jcp.2015.03.052_br0110 article-title: Group explicit methods for the numerical solution of first-order hyperbolic problems in one dependent variable publication-title: Int. J. Comput. Math. – volume: 11 start-page: 9 issue: 1 year: 1998 ident: 10.1016/j.jcp.2015.03.052_br0030 article-title: Singularly perturbed telegraph equations with applications in the random walk theory publication-title: J. Appl. Math. Stoch. Anal. doi: 10.1155/S1048953398000021 – volume: 17 start-page: 101 issue: 1 year: 2004 ident: 10.1016/j.jcp.2015.03.052_br0190 article-title: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation publication-title: Appl. Math. Lett. doi: 10.1016/S0893-9659(04)90019-5 – volume: 85 start-page: 1273 issue: 3 year: 1999 ident: 10.1016/j.jcp.2015.03.052_br0020 article-title: Digital signal propagation in dispersive media publication-title: J. Appl. Phys. doi: 10.1063/1.369258 |
| SSID | ssj0008548 |
| Score | 2.2659173 |
| Snippet | In this paper, new group iterative numerical schemes based on the centred and rotated (skewed) seven-point finite difference discretisations are proposed for... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 382 |
| SubjectTerms | Approximation Complexity Computation Dirichlet problem Explicit group methods Finite difference Iterative methods Mathematical analysis Mathematical models Rotated grids Three dimensional Three dimensional telegraph equations Unconditionally stable |
| Title | New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations |
| URI | https://dx.doi.org/10.1016/j.jcp.2015.03.052 https://www.proquest.com/docview/1718970044 |
| Volume | 294 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF5KvXjxLdZHWcGTEJtkN83mWIqlKvZkobcl-whtkbS2KXjytzuTTRQFe_CYsBs2s7Mz37Az3xByAx4HHKnhnjBMe5ynvicE454F1ySYjVlmsHb4edQdjvnjJJo0SL-uhcG0ysr2O5teWuvqTaeSZmc5m2GNb4g19AhpAPPEWFHOeYxafvfxneYhIu6sMaYiwOj6ZrPM8ZprpKwMopLnNAr_8k2_rHTpegYHZK_CjLTnlnVIGjY_IvsVfqTV6VwfkylYLGrf8UZ6VtCyXoM61mQwadT1il7TWU4B9NFa5-gig-eVtdQg0b8j6aBTCE9XCjmDaVF3pqD2zfGCr0_IeHD_0h96VScFTzPmF55WUaJCDb-o4gziRmXjIOuKrmKBFjYLTKJ5ZnWS8tBYOMJGZYAzRGJS1s1CK9gpaeaL3J4RGiQQ06iIm1gZgGImSVmsuG8CA6FaGMYt4tcylLqiGcduF6-yziebSxC7RLFLn0lYU4vcfk1ZOo6NbYN5vTHyh6JI8AHbpl3XmyjhAOGtSJrbxWYtA_DOCZL88_P_ffqC7OKTywq8JM1itbFXgFQK1S5VsU12eg9Pw9EnPhzpDQ |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEB50PejFt7g-I3gSim2TbtPjIsqujz0peAvNo-wu0l23XfDnO2lSQUEPHvtISSfJN9-QmS8Al-hx0JFqFnBNVcBYHgacUxYYdE2cmpQW2tYOP416gxd2_5q8rsBNWwtj0yo99jtMb9Da37n21ryeTya2xje2NfSW0iDnSdNVWLPqVEkH1vrDh8HoC5B5whwg22wEbNBubjZpXlNlVSujpJE6TeLf3NMPoG68z902bHraSPquZzuwYspd2PIUkvgFWu3BGEGLmA-7KT2pSVOyQZxwMqIaccdFV2RSEuR9pJ12ZFbg9cIYoq3Wv9PpIGOMUBfSygaTuj2cgph3Jw1e7cPL3e3zzSDwhykEitKwDpRMMhkr_EWZFhg6SpNGRY_3JI0UN0WkM8UKo7KcxdrgKtayQKrBM53TXhEbTg-gU85KcwgkyjCskQnTqdTIxnSW01SyUEcao7U4TrsQtjYUyiuN2wMv3kSbUjYVaHZhzS5CKrBPXbj6ajJ3Mht_vczagRHf5opAN_BXs4t2EAWuIbsxkpdmtqxEhA46szr_7Oh_nz6H9cHz06N4HI4ejmHDPnFJgifQqRdLc4rEpZZnfmJ-AjwV674 |
| 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=New+explicit+group+iterative+methods+in+the+solution+of+three+dimensional+hyperbolic+telegraph+equations&rft.jtitle=Journal+of+computational+physics&rft.au=Kew%2C+Lee+Ming&rft.au=Ali%2C+Norhashidah+Hj.+Mohd&rft.date=2015-08-01&rft.pub=Elsevier+Inc&rft.issn=0021-9991&rft.eissn=1090-2716&rft.volume=294&rft.spage=382&rft.epage=404&rft_id=info:doi/10.1016%2Fj.jcp.2015.03.052&rft.externalDocID=S0021999115002077 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-9991&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-9991&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-9991&client=summon |