SOR method for the implicit finite difference solution of time-fractional diffusion equations

A. Sunarto, and Jumat Sulaiman, and Azali Saudi, (2014) SOR method for the implicit finite difference solution of time-fractional diffusion equations. Borneo Science, 34. ISSN 1394-4339

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Abstract

In this study, we derive 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. Then this approximation equation hence will be used to generate the corresponding system of linear equations. The approximation solution of the linear system is described via the implementation of Successive Over-Relaxation (SOR) iterative method. An example of the problem is presented to illustrate the effectiveness of SOR method. The findings of this study show that the proposed iterative method is superior compared with the Gauss-Seidel iterative method.

Item Type: Article
Uncontrolled Keywords: Caputo’s fractional derivative , Implicit Finite Difference Scheme , SOR Method
Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
Divisions: FACULTY > Faculty of Engineering
Depositing User: Noraini
Date Deposited: 05 Jul 2018 06:40
Last Modified: 05 Jul 2018 06:40
URI: http://eprints.ums.edu.my/id/eprint/20379

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