Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations us...
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| Format: | Article |
| Language: | English |
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2010
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| Online Access: | https://eprints.ums.edu.my/id/eprint/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf |
| _version_ | 1825713509103566848 |
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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 | In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-06T02:57:41Z |
| format | Article |
| id | ums.eprints-20381 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:57:41Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | ums.eprints-203812018-07-05T06:40:27Z https://eprints.ums.edu.my/id/eprint/20381/ Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. 2010 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2010) Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method. Journal of Fundamental Sciences, 6 (2). pp. 104-110. ISSN 1823-626x |
| spellingShingle | QA Mathematics Mohana Sundaram Muthuvalu Jumat Sulaiman Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title | Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title_full | Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title_fullStr | Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title_full_unstemmed | Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title_short | Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method |
| title_sort | solving second kind linear fredholm integral equations via quarter sweep sor iterative method |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf |
| work_keys_str_mv | AT mohanasundarammuthuvalu solvingsecondkindlinearfredholmintegralequationsviaquartersweepsoriterativemethod AT jumatsulaiman solvingsecondkindlinearfredholmintegralequationsviaquartersweepsoriterativemethod |