Sunarto, Andang and Sulaiman, J and Saudi, A (2017) Caputo’s Implicit Solution of Time-Fractional Diffusion Equation Using Half-Sweep AOR Iteration. American Saintific Publications, 3 (24). pp. 3470-3480. ISSN 1936-7317
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Abstract
The aim of this paper deals with the application of Half-Sweep Accelerated Over- Relaxation (HSAOR) iterative method using an unconditionally implicit finite difference approximation equation from the discretization of the onedimensional linear time-fractional diffusion equations by using the Caputo’s time fractional derivative. The Caputo’s implicit finite difference approximation equation leads a linear system which is solved by using the proposed HSAOR iterative method. Throughout implementations of two numerical experiments conducted, it has shown that the HSAOR method is superior as compared with FSAOR and FSOR methods.
| Item Type: | Article |
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| Uncontrolled Keywords: | Caputo’s fractional derivative; Implicit finite difference; HSAOR method. |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Civil Engineering and the Environment |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 04:24 |
| Last Modified: | 02 Apr 2019 04:24 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2752 |
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