Chew, Jackel Vui Lung and Aruchunan, Elayaraja and Sunarto, Andang and Sulaiman, Jumat (2022) Quarter-sweep successive over-relaxation approximation to the solution of porous medium equations. IAENG International Journal of Applied Mathematics, 52 (2). ISSN 19929978,
Full text not available from this repository.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. © 2022. IAENG International Journal of Applied Mathematics.All Rights Reserved
| Item Type: | Article |
|---|---|
| Funders: | Research Management Center, Universiti Malaysia Sabah |
| Uncontrolled Keywords: | Efficiency; Initial value problems; Newton-Raphson method; Nonlinear equations; Numerical methods; Partial differential equations; Porous materials; Approximation scheme; Finite difference approximations; Finite-difference methods; Newton's methods; Over relaxation parameter; Performance; Porous-medium equations; Quarter-sweep; Successive over relaxation; Successive over relaxation methods; Finite difference method |
| Subjects: | H Social Sciences > HB Economic Theory |
| Divisions: | Faculty of Business and Economics |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 07 Nov 2023 05:38 |
| Last Modified: | 07 Nov 2023 05:38 |
| URI: | http://eprints.um.edu.my/id/eprint/43514 |
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