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. pp. 3469-3479. ISSN 0973-1768

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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 one-dimensional 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 > QA1-939 Mathematics
Q Science > QA Mathematics > QA1-939 Mathematics > QA71-90 Instruments and machines > QA75.5-76.95 Electronic computers. Computer science
Divisions: FACULTY > Faculty of Computing and Informatics
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 24 Sep 2021 15:42
Last Modified: 24 Sep 2021 15:42
URI: http://eprints.ums.edu.my/id/eprint/29310

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