Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration

Andang Sunarto, and Jumat Sulaiman, and Azali Saudi, (2016) Caputo’s implicit solution of time-fractional diffusion equation using half-sweep AOR iteration. Global Journal of Pure and Applied Mathematics , 12 (4). pp. 3469-3479. ISSN 0973-1768

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Official URL: https://www.ripublication.com/gjpam16/gjpamv12n4_5...

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
Uncontrolled Keywords:Caputo’s fractional derivative; Implicit finite difference; HSAOR method
Subjects:Q Science > QA Mathematics
Divisions:FACULTY > Faculty of Science and Natural Resources
ID Code:15445
Deposited By:Munira M
Deposited On:27 Jan 2017 14:39
Last Modified:31 Jan 2017 14:33

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