Newton-SOR iterative method for solving the two-dimensional porous medium equation

Chew, Jackel Vui Lung and Jumat Sulaiman (2017) Newton-SOR iterative method for solving the two-dimensional porous medium equation. Journal of Fundamental and Applied Sciences, 9. pp. 384-394. ISSN 1112-9867

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Abstract

In this paper, we consider the application of the Newton the approximate solution of the two nonlinear finite difference approximation equation to implicit finite difference scheme. The developed nonlinear system is linearized by using the Newton method. At each temporal step, the corresponding linear systems are solved by using SOR iteration. We investigate the eff three examples of 2D PME and the performance is compared with the Newton method. Numerical results show that the Newton Newton-GS iterative method in terms of a number of iterations, computer time and maximum absolute errors.

Item Type:	Article
Keyword:	Porous medium equation , Finite difference scheme , Newton , Successive Over Relaxation , Gauss-Seidel
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:	28 Oct 2022 15:17
Last Modified:	28 Oct 2022 15:17
URI:	https://eprints.ums.edu.my/id/eprint/34609

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