Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript
This study presents numerical solution of time-fractional linear parabolic partial differential equations (PDEs) using the Caputo finite difference scheme. The discretization process is based on the second-order implicit finite difference scheme and the Caputo fractional derivative operator. The res...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Penerbit Akademia Baru
2025
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/41923/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41923/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/41923/ https://doi.org/10.37934/araset.48.1.168179 |
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| Institution: | Universiti Malaysia Sabah |
| Language: | English English |
| Summary: | This study presents numerical solution of time-fractional linear parabolic partial differential equations (PDEs) using the Caputo finite difference scheme. The discretization process is based on the second-order implicit finite difference scheme and the Caputo fractional derivative operator. The resulting system of linear approximation equations is solved using the Kaudd Successive Over Relaxation (KSOR) iterative method. A comparison is made with the Gauss-Seidel (GS) iterative method through three numerical examples. The results demonstrate that the KSOR method requires fewer iterations and reduced computational time compared to the GS method. |
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