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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| Format: | Article |
| Language: | English English |
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Penerbit Akademia Baru
2025
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| 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 |
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| author | Mohd Usran Alibubin Jumat Sulaiman Fatihah Anas Muhiddin Andang Sunarto |
| author_facet | Mohd Usran Alibubin Jumat Sulaiman Fatihah Anas Muhiddin Andang Sunarto |
| author_sort | Mohd Usran Alibubin |
| collection | UMS |
| description | 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. |
| first_indexed | 2024-12-09T00:53:57Z |
| format | Article |
| id | ums.eprints-41923 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-12-09T00:53:57Z |
| publishDate | 2025 |
| publisher | Penerbit Akademia Baru |
| record_format | dspace |
| spelling | ums.eprints-419232024-11-18T01:49:52Z https://eprints.ums.edu.my/id/eprint/41923/ Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript Mohd Usran Alibubin Jumat Sulaiman Fatihah Anas Muhiddin Andang Sunarto QA1-939 Mathematics QA299.6-433 Analysis 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. Penerbit Akademia Baru 2025 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/41923/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/41923/2/FULL%20TEXT.pdf Mohd Usran Alibubin and Jumat Sulaiman and Fatihah Anas Muhiddin and Andang Sunarto (2025) Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript. Journal of Advanced Research in Applied Sciences and Engineering Technology, 48 (1). pp. 1-12. ISSN 2462-1943 https://doi.org/10.37934/araset.48.1.168179 |
| spellingShingle | QA1-939 Mathematics QA299.6-433 Analysis Mohd Usran Alibubin Jumat Sulaiman Fatihah Anas Muhiddin Andang Sunarto Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title | Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title_full | Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title_fullStr | Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title_full_unstemmed | Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title_short | Implementation of the ksor method for solving one-dimensional time-fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| title_sort | implementation of the ksor method for solving one dimensional time fractional parabolic partial differential equations with the caputo finite difference scheme title of manuscript |
| topic | QA1-939 Mathematics QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/41923/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/41923/2/FULL%20TEXT.pdf |
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