Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredhol...
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| Format: | Article |
| Language: | English |
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Modern Science Publishers
2012
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| Online Access: | https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf |
| _version_ | 1825713345770029056 |
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| author | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_facet | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_sort | Mohana Sundaram Muthuvalu |
| collection | UMS |
| description | The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredholm integral equations. The details of the proposed methods are explained. Some numerical analyses are given in order to verify the performance of the proposed methods. |
| first_indexed | 2024-03-06T02:55:09Z |
| format | Article |
| id | ums.eprints-19145 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:55:09Z |
| publishDate | 2012 |
| publisher | Modern Science Publishers |
| record_format | dspace |
| spelling | ums.eprints-191452018-03-12T07:14:40Z https://eprints.ums.edu.my/id/eprint/19145/ Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredholm integral equations. The details of the proposed methods are explained. Some numerical analyses are given in order to verify the performance of the proposed methods. Modern Science Publishers 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2012) Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel. Journal of Modern Methods in Numerical Mathematics, 3 (1). pp. 64-71. ISSN 2090-4770 https://doi.org/10.20454/jmmnm.2012.104 |
| spellingShingle | QA Mathematics Mohana Sundaram Muthuvalu Jumat Sulaiman Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title | Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title_full | Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title_fullStr | Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title_full_unstemmed | Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title_short | Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel |
| title_sort | computational methods based on complexity reduction approach for first kind linear fredholm integral equations with semi smooth kernel |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf |
| work_keys_str_mv | AT mohanasundarammuthuvalu computationalmethodsbasedoncomplexityreductionapproachforfirstkindlinearfredholmintegralequationswithsemismoothkernel AT jumatsulaiman computationalmethodsbasedoncomplexityreductionapproachforfirstkindlinearfredholmintegralequationswithsemismoothkernel |