Caputo’s Implicit Solution of Space-Fractional Diffusion Equations by QSSOR Iteration
| Main Authors: | Sunarto, Andang, Jumat, Sulaiman, Azali, Saudi |
|---|---|
| Format: | Article PeerReviewed Book Bachelors |
| Bahasa: | eng |
| Terbitan: |
, 2018
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| Subjects: | |
| Online Access: |
http://repository.iainbengkulu.ac.id/2718/1/Caputo%E2%80%99s%20Implicit%20Solution%20of%20Space-Fractional.pdf http://repository.iainbengkulu.ac.id/2718/ |
Daftar Isi:
- In this study, we present the Caputo’s implicit finite difference solution for the one-dimensional linear space-fractional diffusion equations based on the quarter-sweep Caputo’s implicit finite difference approximation equation. To derive the approximation equation, firstly the proposed problem will be discretized by using the Caputo’s space fractional derivative and the second-order central difference scheme. Then we can construct a linear system which has been solved by using Quarter-Sweep SOR (QSSOR)iterative method. The numerical results of this iterative method will be compared with other existing SOR methods such as Full-Sweep SOR (FSSOR) and Half-Sweep SOR (HSSOR). Finally it can be concluded that the proposed iterative method is superior compared with the FSSOR and HSSOR methods. Keywords