Jackel Chew Vui Lung and Jumat Sulaiman (2020) On quarter-sweep finite difference scheme for one-dimensional porous medium equations. International Journal of Applied Mathematics, 33 (3). pp. 439-450. ISSN 13111728
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Abstract
In this article, we introduce an implicit finite difference approx-imation for one-dimensional porous medium equations using Quarter-Sweep approach. We approximate the solutions of the nonlinear porous medium equa-tions by the application of the Newton method and use the Gauss-Seidel itera-tion. This yields a numerical method that reduces the computational complex-ity when the spatial grid spaces are reduced. The numerical result shows that the proposed method has a smaller number of iterations, a shorter computation time and a good accuracy compared to Newton-Gauss-Seidel and Half-Sweep Newton-Gauss-Seidel methods.
| Item Type: | Article |
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| Keyword: | Finite difference method, Gauss-Seidel methods, Newton, Porous medium equations, Quarter-Sweep |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Department: | FACULTY > Faculty of Computing and Informatics |
| Depositing User: | SITI AZIZAH BINTI IDRIS - |
| Date Deposited: | 01 Sep 2020 09:32 |
| Last Modified: | 01 Sep 2020 09:32 |
| URI: | https://eprints.ums.edu.my/id/eprint/25864 |
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