Sunarto, Andang and Sulaiman, J and Saudi, A (2014) SOR METHOD FOR THE IMPLICIT FINITE DIFFERENCE SOLUTION OF TIMEFRACTIONAL DIFFUSION EQUATIONS. BORNEO SCIENCE 34: MARCH 2014, 6 (34). pp. 34-42.
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Abstract
ABSTRACT. In this study, we derive an unconditionally implicit finite difference approximation equation from the discretization of the one-dimensional linear time fractional diffusion equations by using the Caputo’s time fractional derivative. Then this approximation equation hence will be used to generate the corresponding system of linear equations. The approximation solution of the linear system is described via the implementation of Successive Over-Relaxation (SOR) iterative method. An example of the problem is presented to illustrate the effectiveness of SOR method. The findings of this study show that the proposed iterative method is superior compared with the Gauss-Seidel iterative method.
| Item Type: | Article |
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| Uncontrolled Keywords: | Caputo’s fractional derivative, Implicit Finite Difference Scheme, SOR Method |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Law, Arts and Social Sciences > School of Social Sciences |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 26 Mar 2019 04:42 |
| Last Modified: | 26 Mar 2019 04:42 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2594 |
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