Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration

F A Muhiddin and Jumat Sulaiman and A Sunarto (2020) Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration. Journal of Physics: Conference Series, 1489. pp. 1-8.

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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, fullsweep 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.

Item Type: Article
Keyword: Grünwald, One-Dimensional, HSKSOR Iteration
Subjects: Q Science > Q Science (General)
Department: FACULTY > Faculty of Science and Natural Resources
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 23 Oct 2020 19:02
Last Modified: 15 Mar 2021 09:45
URI: https://eprints.ums.edu.my/id/eprint/26183

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