NUMERICAL SOLUTIONS OF THE TIMEFRACTIONAL DIFFUSION EQUATIONS BY USING QUARTER-SWEEP SOR ITERATIVE METHOD

Sunarto, Andang and Sulaiman, J and Saudi, A (2014) NUMERICAL SOLUTIONS OF THE TIMEFRACTIONAL DIFFUSION EQUATIONS BY USING QUARTER-SWEEP SOR ITERATIVE METHOD. IJMES company, 2 (3). pp. 54-67. ISSN 2277-6982

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Official URL: http://www.ijmes.com/archieve/volume-3-year-2014/

Abstract

The main objective of this paper is to describe the formulation of Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method using the Caputos time fractional derivative together with Quarter-Sweep implicit finite difference approximation equation for solving one-dimensional linear time-fractional diffusion equations. To solve the problems, a linear system will be constructed via discretization of the one-dimensional linear time fractional diffusion equations by using the Caputos time fractional derivative. Then the generated linear system has been solved by using the proposed QSSOR iterative method. Computational results are provided to demonstrate the effectiveness of the proposed methods as compared with the FSSOR and HSSOR methods

Item Type: Article
Uncontrolled Keywords: Caputos fractional derivative, Implicit finite difference, QSSOR method.
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Law, Arts and Social Sciences > School of Management
Depositing User: Syahril Syahril M.Ag
Date Deposited: 02 Apr 2019 04:35
Last Modified: 02 Apr 2019 04:35
URI: http://repository.iainbengkulu.ac.id/id/eprint/2745

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