Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems
This study deals with the application of numerical methods in solving the Fuzzy Boundary Value Problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition...
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| Format: | Article |
| Language: | English English |
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2016
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| Online Access: | https://eprints.ums.edu.my/id/eprint/19525/1/Performance%20of%20quarter.pdf https://eprints.ums.edu.my/id/eprint/19525/7/Performance%20of%20quarter-sweep%20successive%20over%20relaxation%20iterative%20method%20for%20two-point%20fuzzy%20boundary%20value%20problems.pdf |
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| author | A'Qilah Ahmad Dahalan N.S.A. Aziz Jumat Sulaiman |
| author_facet | A'Qilah Ahmad Dahalan N.S.A. Aziz Jumat Sulaiman |
| author_sort | A'Qilah Ahmad Dahalan |
| collection | UMS |
| description | This study deals with the application of numerical methods in solving the Fuzzy Boundary Value Problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition to that, the fuzzy linear system will be solved iteratively by using Gauss-Seidel (GS), Full-Sweep Successive Over-Relaxation (FSSOR), Half-Sweep Successive Over Relaxation (HSSOR) and Quarter-Sweep Successive Over Relaxation (QSSOR) iterative methods. Then several numerical experiments are conducted to illustrate the effectiveness of QSSOR iterative method compared with the GS, FSSOR and QSSOR methods |
| first_indexed | 2024-03-06T02:56:03Z |
| format | Article |
| id | ums.eprints-19525 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T02:56:03Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ums.eprints-195252020-12-10T08:41:56Z https://eprints.ums.edu.my/id/eprint/19525/ Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems A'Qilah Ahmad Dahalan N.S.A. Aziz Jumat Sulaiman QE Geology This study deals with the application of numerical methods in solving the Fuzzy Boundary Value Problems (FBVPs) which is discretized to derive second order fuzzy finite difference approximation equation. Then this fuzzy approximation equation is used to generate the fuzzy linear system. In addition to that, the fuzzy linear system will be solved iteratively by using Gauss-Seidel (GS), Full-Sweep Successive Over-Relaxation (FSSOR), Half-Sweep Successive Over Relaxation (HSSOR) and Quarter-Sweep Successive Over Relaxation (QSSOR) iterative methods. Then several numerical experiments are conducted to illustrate the effectiveness of QSSOR iterative method compared with the GS, FSSOR and QSSOR methods 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/19525/1/Performance%20of%20quarter.pdf text en https://eprints.ums.edu.my/id/eprint/19525/7/Performance%20of%20quarter-sweep%20successive%20over%20relaxation%20iterative%20method%20for%20two-point%20fuzzy%20boundary%20value%20problems.pdf A'Qilah Ahmad Dahalan and N.S.A. Aziz and Jumat Sulaiman (2016) Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems. Journal of Engineering and Applied Sciences, 11 (7). pp. 1456-1463. |
| spellingShingle | QE Geology A'Qilah Ahmad Dahalan N.S.A. Aziz Jumat Sulaiman Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title | Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title_full | Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title_fullStr | Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title_full_unstemmed | Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title_short | Performance of quarter-sweep successive over relaxation iterative method for two-point fuzzy boundary value problems |
| title_sort | performance of quarter sweep successive over relaxation iterative method for two point fuzzy boundary value problems |
| topic | QE Geology |
| url | https://eprints.ums.edu.my/id/eprint/19525/1/Performance%20of%20quarter.pdf https://eprints.ums.edu.my/id/eprint/19525/7/Performance%20of%20quarter-sweep%20successive%20over%20relaxation%20iterative%20method%20for%20two-point%20fuzzy%20boundary%20value%20problems.pdf |
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