Successive over relaxation method in solving two-point fuzzy boundary value problems
In this study, numerical methods are considered in solving the fuzzy boundary value problem (FBVP). This boundary value problem will then be discretized to derive second order finite difference equation and hence generated fuzzy linear system. The approximation solver towards system of linear equati...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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2013
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/20326/1/Successive%20over%20relaxation%20method%20in%20solving%20two.pdf |
| _version_ | 1825713499271069696 |
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| author | A. A. Dahalan M. S. Muthuvalu Jumat Sulaiman |
| author_facet | A. A. Dahalan M. S. Muthuvalu Jumat Sulaiman |
| author_sort | A. A. Dahalan |
| collection | UMS |
| description | In this study, numerical methods are considered in solving the fuzzy boundary value problem (FBVP). This boundary value problem will then be discretized to derive second order finite difference equation and hence generated fuzzy linear system. The approximation solver towards system of linear equations is described through the implementation of the Gauss-Seidel (GS) and Successive Over Relaxation (SOR) iterative methods. Then several numerical experiments were shown to illustrate the effectiveness of SOR iterative method compared with the GS method. |
| first_indexed | 2024-03-06T02:57:32Z |
| format | Conference or Workshop Item |
| id | ums.eprints-20326 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:57:32Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ums.eprints-203262018-06-21T05:58:36Z https://eprints.ums.edu.my/id/eprint/20326/ Successive over relaxation method in solving two-point fuzzy boundary value problems A. A. Dahalan M. S. Muthuvalu Jumat Sulaiman QA Mathematics In this study, numerical methods are considered in solving the fuzzy boundary value problem (FBVP). This boundary value problem will then be discretized to derive second order finite difference equation and hence generated fuzzy linear system. The approximation solver towards system of linear equations is described through the implementation of the Gauss-Seidel (GS) and Successive Over Relaxation (SOR) iterative methods. Then several numerical experiments were shown to illustrate the effectiveness of SOR iterative method compared with the GS method. 2013 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20326/1/Successive%20over%20relaxation%20method%20in%20solving%20two.pdf A. A. Dahalan and M. S. Muthuvalu and Jumat Sulaiman (2013) Successive over relaxation method in solving two-point fuzzy boundary value problems. In: AIP Conference Proceedings. https://doi.org/10.1063/1.4801113 |
| spellingShingle | QA Mathematics A. A. Dahalan M. S. Muthuvalu Jumat Sulaiman Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title | Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title_full | Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title_fullStr | Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title_full_unstemmed | Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title_short | Successive over relaxation method in solving two-point fuzzy boundary value problems |
| title_sort | successive over relaxation method in solving two point fuzzy boundary value problems |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/20326/1/Successive%20over%20relaxation%20method%20in%20solving%20two.pdf |
| work_keys_str_mv | AT aadahalan successiveoverrelaxationmethodinsolvingtwopointfuzzyboundaryvalueproblems AT msmuthuvalu successiveoverrelaxationmethodinsolvingtwopointfuzzyboundaryvalueproblems AT jumatsulaiman successiveoverrelaxationmethodinsolvingtwopointfuzzyboundaryvalueproblems |