Sunarto, Andang and Sulaiman, J and Saudi, A (2015) NUMERICAL SOLUTION FOR SOLVING SPACE-FRACTIONAL DIFFUSION EQUATIONS USING HALF-SWEEP GAUSS-SEIDEL ITERATIVE METHOD. In: Proceeding of International Conference on Electrical Engineering, Computer Science and Informatics (EECSI 2015), Palembang, Indonesia, 19 -20 August 2015, 19-20 Agustus 2015, Palembang.
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Numerical Solution for Solving Space-Fractional Diffusion Equations using Half-sweep Gauss-seidel Iterative Method.pdf Download (911kB) | Preview |
Abstract
—The main purpose of this paper is to examine the effectiveness of Half-Sweep Gauss-Seidel (HSGS) method for Space-Fractional diffusion equations. The Caputo’s derivative and implicit finite difference scheme will be used to discretize linear space-fractional equation of the first order to construct system linear equation. The basic formulation and application of the HSGS iterative method are also presented. Two numerical examples and comparison with other iterative methods shows that the present method is effective. Based on computational numerical result, the solution obtained by proposed iterative method is in excellent agreement, it can be concluded that the proposed iterative method is superior to the Full-Sweep GaussSeidel (FSGS) iterative method Keywords—Caputo’s fractional derivative; Implicit finite difference Schemee; HSGS method
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Caputo’s fractional derivative; Implicit finite difference Schemee; HSGS method |
| Subjects: | H Social Sciences > H Social Sciences (General) |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 04:28 |
| Last Modified: | 02 Apr 2019 04:28 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2749 |
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