Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations

Chew, Jackel Vui Lung and Jumat Sulaiman (2016) Application of MSOR iteration with newton scheme for solutions of 1D nonlinear porous medium equations.

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Official URL: https://aip.scitation.org/doi/abs/10.1063/1.495249...

Abstract

This paper considers Newton-MSOR iterative method for solving 1D nonlinear porous medium equation (PME). The basic concept of proposed iterative method is derived from a combination of one step nonlinear iterative method which known as Newton method with Modified Successive Over Relaxation (MSOR) method. The reliability of Newton-MSOR to obtain approximate solution for several PME problems is compared with Newton-Gauss-Seidel (Newton-GS) and Newton-Successive Over Relaxation (Newton-SOR). In this paper, the formulation and implementation of these three iterative methods have also been presented. From four examples of PME problems, numerical results showed that Newton- MSOR method requires lesser number of iterations and computational time as compared with Newton-GS and Newton- SOR methods.

Item Type:	Proceedings
Keyword:	MSOR , Porous medium equation , Newton-SOR
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	31 Oct 2022 11:04
Last Modified:	31 Oct 2022 11:04
URI:	https://eprints.ums.edu.my/id/eprint/34623

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