Sunarto, Andang and Saudi, A and Sulaiman, J (2014) SOLVING THE TIME FRACTIONAL DIFFUSION EQUATIONS BY THE HALFSWEEP SOR ITERATIVE METHOD. IEEE Xplore Digital Library, 1 (14). pp. 271-277. ISSN 2169-3536
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Abstract
This paper examines the effectiveness of the combination between Successive Over-Relaxation (SOR) iterative method with the Half-Sweep (HS) iteration namely Half-Sweep Successive Over-Relaxation (HSSOR) to solve one-dimensional time fractional diffusion equation numerically. To do this, the problem will be discretized to construct the Half-Sweep finite difference approximation equation via the Caputo’s time fractional derivative and implicit finite difference discretization scheme. Then a linear system will be generated by this HalfSweep approximation equation. Next the resulting of the linear system has been solved using HSSOR iterative method in which its effectiveness will be compared with the existing Successive Over-Relaxation method (known as Full-Sweep Gauss-Seidel (FSSOR)). One example is include to examine the effectiveness the proposed method. The findings of this study point out that the HSSOR iterative method is superior in term of number of iterations and computational time as compared with the FSSOR method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | —Caputo’s fractional derivative; Implicit finite difference; HSSOR method |
| Subjects: | H Social Sciences > H Social Sciences (General) H Social Sciences > HA Statistics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 04:20 |
| Last Modified: | 02 Apr 2019 04:20 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2758 |
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