Full-Sweep SOR Iterative Method to Solve Space-Fractional Diffusion Equations
| Main Authors: | Sunarto, Andang, Sulaiman, J, Saudi, A |
|---|---|
| Format: | Article PeerReviewed Book Bachelors |
| Bahasa: | eng |
| Terbitan: |
Australian Journal of Basic and Applied Science
, 2014
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| Subjects: | |
| Online Access: |
http://repository.iainbengkulu.ac.id/2754/1/Jurnal%20ajbas%20Full%20sweep%20sor%20iterative%20method%20for%20SFDE.pdf http://repository.iainbengkulu.ac.id/2754/ http://www.ajbasweb.com/old/ajbas/2014/IPN20%JAKARTA/153-158.pdf |
Daftar Isi:
- Space-Fractional diffusion equations are generalizations of classical diffusion equations which are used in modeling superdiffusive problem. In this paper, we examine the effectiveness of the FSSOR iterative method to solve space-fractional diffusion equations based on an unconditionally implicit finite difference scheme. From the discretization of the one dimensional linear space-fractional diffusion equations by using the Caputo’s space fractional derivative. We can derive the Caputo’s implicit finite difference approximation equation. Then this approximation equations hence will be used to generated the corresponding system of linear equations. Two numerical examples were used to make a comparison between FSGS and FSSOR methods.Based on computational numerical results, it can be concluded that the proposed FSSOR iterative method is superior to the FSGS iterative method