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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Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper).pdf Download (40kB) |
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 |
|---|---|
| Keyword: | 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 14:24 |
| Last Modified: | 27 Apr 2021 14:24 |
| URI: | https://eprints.ums.edu.my/id/eprint/26819 |
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