Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper)

Muhiddin, F.A. and Jumat Bin Sulaiman and Sunarto, A. (2020) Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper). Journal of Physics: Conference Series, 1489 (1). ISSN 1742-6588

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Abstract

This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd.

Item Type: Article
Uncontrolled Keywords: Gauss-Seide. lImplicit difference schemes, Implicit solutionsLinear time, Numerical resultsParabolic Equations, Successive over relaxation
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 27 Apr 2021 06:24
Last Modified: 27 Apr 2021 06:24
URI: http://eprints.ums.edu.my/id/eprint/26819

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