Chew, Jackel Vui Lung and Jumat Sulaiman (2016) Implicit solution of 1d nonlinear porous medium equation using the four-point newton-EGMSOR iterative method. Journal of Applied Mathematics and Computational Mechanics, 15. pp. 11-21. ISSN 2299-9965 (P-ISSN) , 2353-0588 (E-ISSN)
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Abstract
The numerical method can be a good choice in solving nonlinear partial differential equations (PDEs) due to the difficulty in finding the analytical solution. Porous medium equation (PME) is one of the nonlinear PDEs which exists in many realistic problems. This paper proposes a four-point Newton-EGMSOR (4-Newton-EGMSOR) iterative method in solving 1D nonlinear PMEs. The reliability of the 4-Newton-EGMSOR iterative method in computing approximate solutions for several selected PME problems is shown with comparison to 4-Newton-EGSOR, 4-Newton-EG and Newton-Gauss-Seidel methods. Numerical results showed that the proposed method is superior in terms of the number of iterations and computational time compared to the other three tested iterative methods.
| Item Type: | Article |
|---|---|
| Keyword: | Porous medium equation , Finite difference scheme , Newton method , Explicit Group , MSOR |
| Subjects: | Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis |
| Department: | FACULTY > Faculty of Science and Natural Resources |
| Depositing User: | DG MASNIAH AHMAD - |
| Date Deposited: | 20 Oct 2022 11:19 |
| Last Modified: | 20 Oct 2022 11:19 |
| URI: | https://eprints.ums.edu.my/id/eprint/34514 |
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