Quarter-sweep successive over-relaxation approximation to the solution of porous medium equations

Chew, Jackel Vui Lung and Elayaraja Aruchunan and Andang Sunarto and Jumat Sulaiman (2022) Quarter-sweep successive over-relaxation approximation to the solution of porous medium equations. IAENG International Journal of Applied Mathematics, 52. pp. 466-472. ISSN 1992-9978 (P-ISSN) , 1992-9986 (E-ISSN)

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URL: https://www.researchgate.net/publication/361790276...

Abstract

This paper investigated the use of a successive over-relaxation parameter in a quarter-sweep finite difference approximation scheme. The performance of the developed quarter-sweep successive over-relaxation method is examined by considering a nonlinear partial differential equation, namely the porous medium equation. The main contribution of this paper is to present the stability, convergence and efficiency of the proposed method. Several initial-boundary value problems of the porous medium equation are solved to illustrate the efficiency of the proposed method. The numerical results showed that the quarter-sweep successive over-relaxation method is more efficient in reducing iterations and computational time than the standard and the existing numerical methods. In addition, the accuracy of the quarter-sweep successive over-relaxation method is comparable to the tested numerical methods.

Item Type:	Article
Keyword:	Finite difference method , Newton method , Porous medium equation , Quarter-sweep , Successive overrelaxation
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	20 Oct 2022 11:16
Last Modified:	20 Oct 2022 11:16
URI:	https://eprints.ums.edu.my/id/eprint/34487

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