Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation
This paper considers the numerical solution of a one-dimensional space-fractional diffusion equation. To obtain the solution, we use an unconditionally stable implicit finite difference approximation with the Caputo’s space-fractional operator. We study on improving the convergence rate of the solut...
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| Format: | Proceedings |
| Language: | English English |
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IOP Publishing Ltd
2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/26930/1/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20FULLTEXT.pdf https://eprints.ums.edu.my/id/eprint/26930/2/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20ABSTRACT.pdf |
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| author | A Sunarto Jumat Sulaiman Chew, Jackel Vui Lung |
| author_facet | A Sunarto Jumat Sulaiman Chew, Jackel Vui Lung |
| author_sort | A Sunarto |
| collection | UMS |
| description | This paper considers the numerical solution of a one-dimensional space-fractional diffusion equation. To obtain the solution, we use an unconditionally stable implicit finite difference approximation with the Caputo’s space-fractional operator. We study on improving the convergence rate of the solution while solving the generated linear system through the approximation equation iteratively. In our study, we apply the preconditioning technique to construct a preconditioned linear system which eventually derives into a Full-Sweep Preconditioned AOR. From the presented results, we show that the proposed Full-Sweep Preconditioned AOR iterative method has superiority in efficiency compared to the basic FullSweep Preconditioned SOR and Full-Sweep Preconditioned Gauss-Seidel iterative methods. |
| first_indexed | 2024-03-06T03:06:29Z |
| format | Proceedings |
| id | ums.eprints-26930 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:06:29Z |
| publishDate | 2021 |
| publisher | IOP Publishing Ltd |
| record_format | dspace |
| spelling | ums.eprints-269302021-06-03T00:55:02Z https://eprints.ums.edu.my/id/eprint/26930/ Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation A Sunarto Jumat Sulaiman Chew, Jackel Vui Lung QA Mathematics QC Physics This paper considers the numerical solution of a one-dimensional space-fractional diffusion equation. To obtain the solution, we use an unconditionally stable implicit finite difference approximation with the Caputo’s space-fractional operator. We study on improving the convergence rate of the solution while solving the generated linear system through the approximation equation iteratively. In our study, we apply the preconditioning technique to construct a preconditioned linear system which eventually derives into a Full-Sweep Preconditioned AOR. From the presented results, we show that the proposed Full-Sweep Preconditioned AOR iterative method has superiority in efficiency compared to the basic FullSweep Preconditioned SOR and Full-Sweep Preconditioned Gauss-Seidel iterative methods. IOP Publishing Ltd 2021 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/26930/1/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20FULLTEXT.pdf text en https://eprints.ums.edu.my/id/eprint/26930/2/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20ABSTRACT.pdf A Sunarto and Jumat Sulaiman and Chew, Jackel Vui Lung (2021) Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation. https://iopscience.iop.org/article/10.1088/1742-6596/1803/1/012004/pdf 10.1088/1742-6596/1803/1/012004 |
| spellingShingle | QA Mathematics QC Physics A Sunarto Jumat Sulaiman Chew, Jackel Vui Lung Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title | Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title_full | Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title_fullStr | Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title_full_unstemmed | Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title_short | Performance of FSPAOR iteration for solving one-dimensional space-fractional diffusion equation |
| title_sort | performance of fspaor iteration for solving one dimensional space fractional diffusion equation |
| topic | QA Mathematics QC Physics |
| url | https://eprints.ums.edu.my/id/eprint/26930/1/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20FULLTEXT.pdf https://eprints.ums.edu.my/id/eprint/26930/2/Performance%20of%20FSPAOR%20iteration%20for%20solving%20onedimensional%20space-fractional%20diffusion%20equation%20ABSTRACT.pdf |
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