Sunarto, Andang and Sulaiman, J and Saudi, A (2017) HALF-SWEEP GAUSS-SEIDEL ITERATION APPLIED TO TIME-FRACTIONAL DIFFUSION EQUATIONS. American Saintific Publications, 3 (24). pp. 16-22. ISSN 1936-7317
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Abstract
In this study, we derive a finite difference approximation equation from the discretization of the onedimensional linear time-fractional diffusion equations by using the Caputo’s time fractional derivative. A linear system will be generated by the Caputo’s finite difference approximation equation. Then the resulting of the linear system has been solved using Half-Sweep Gauss-Seidel (HSGS) iterative method in which its effectiveness will be compared with the existing Gauss-Seidel method (known as Full-Sweep Gauss-Seidel (FSGS)). An example of the problem is presented to test the effectiveness the proposed method. The findings of this study show that the proposed iterative method is superior compared with the FSGS method.
| Item Type: | Article |
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| Uncontrolled Keywords: | Caputo’s fractional derivative; Implicit scheme; HSGS method. |
| Subjects: | H Social Sciences > HB Economic Theory |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 00:56 |
| Last Modified: | 02 Apr 2019 04:36 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2744 |
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