Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration
This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the propose...
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| Format: | Article |
| Language: | English English |
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2020
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| Online Access: | https://eprints.ums.edu.my/id/eprint/26183/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration.pdf https://eprints.ums.edu.my/id/eprint/26183/2/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration1.pdf |
| _version_ | 1825713981885513728 |
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| author | F A Muhiddin Jumat Sulaiman A Sunarto |
| author_facet | F A Muhiddin Jumat Sulaiman A Sunarto |
| author_sort | F A Muhiddin |
| collection | UMS |
| description | This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, fullsweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. |
| first_indexed | 2024-03-06T03:04:59Z |
| format | Article |
| id | ums.eprints-26183 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:04:59Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ums.eprints-261832021-03-15T01:45:52Z https://eprints.ums.edu.my/id/eprint/26183/ Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration F A Muhiddin Jumat Sulaiman A Sunarto Q Science (General) This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, fullsweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. 2020 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/26183/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration.pdf text en https://eprints.ums.edu.my/id/eprint/26183/2/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration1.pdf F A Muhiddin and Jumat Sulaiman and A Sunarto (2020) Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration. Journal of Physics: Conference Series, 1489. pp. 1-8. https://doi.org/10.1088/1742-6596/1489/1/012025 |
| spellingShingle | Q Science (General) F A Muhiddin Jumat Sulaiman A Sunarto Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title | Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title_full | Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title_fullStr | Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title_full_unstemmed | Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title_short | Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration |
| title_sort | grunwald implicit solution of one dimensional time fractional parabolic equations using hsksor iteration |
| topic | Q Science (General) |
| url | https://eprints.ums.edu.my/id/eprint/26183/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration.pdf https://eprints.ums.edu.my/id/eprint/26183/2/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time%20Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration1.pdf |
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