Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation
•Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems. In this paper, the asymptotic convergence of cubic Hermite collocation method in cont...
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| Published in | Applied mathematics and computation Vol. 220; pp. 560 - 567 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
01.09.2013
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| ISSN | 0096-3003 1873-5649 |
| DOI | 10.1016/j.amc.2013.05.073 |
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| Abstract | •Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems.
In this paper, the asymptotic convergence of cubic Hermite collocation method in continuous time for the parabolic partial differential equation is established of order Oh2. The linear combination of cubic Hermite basis taken as approximating function is evaluated using the zeros of Chebyshev polynomials as collocation points. The theoretical results are verified for two test problems. |
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| AbstractList | •Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems.
In this paper, the asymptotic convergence of cubic Hermite collocation method in continuous time for the parabolic partial differential equation is established of order Oh2. The linear combination of cubic Hermite basis taken as approximating function is evaluated using the zeros of Chebyshev polynomials as collocation points. The theoretical results are verified for two test problems. |
| Author | Parumasur, N. Singh, P. Gupta, Bharti Ganaie, Ishfaq Ahmad Kukreja, V.K. |
| Author_xml | – sequence: 1 givenname: Ishfaq Ahmad surname: Ganaie fullname: Ganaie, Ishfaq Ahmad email: ishfaqhamid@gmail.com organization: Department of Mathematics, SLIET, Longowal 148106, Punjab, India – sequence: 2 givenname: Bharti surname: Gupta fullname: Gupta, Bharti email: goyal_bharti@gmail.com organization: Department of Mathematics, SLIET, Longowal 148106, Punjab, India – sequence: 3 givenname: N. surname: Parumasur fullname: Parumasur, N. email: parumasurn1@ukzn.ac.za organization: Department of Mathematics, University of KwaZulu-Natal, Durban 4000, South Africa – sequence: 4 givenname: P. surname: Singh fullname: Singh, P. email: singhp@ukzn.ac.za organization: Department of Mathematics, University of KwaZulu-Natal, Durban 4000, South Africa – sequence: 5 givenname: V.K. surname: Kukreja fullname: Kukreja, V.K. email: vkkukreja@gmail.com organization: Department of Mathematics, SLIET, Longowal 148106, Punjab, India |
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