Solving second kind linear Fredholm integral equation 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 English |
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UTM
2010
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| Online Access: | https://eprints.ums.edu.my/id/eprint/20393/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/20393/2/FULL%20TEXT.pdf |
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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 | 2024-03-06T02:57:42Z |
| format | Article |
| id | ums.eprints-20393 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T02:57:42Z |
| publishDate | 2010 |
| publisher | UTM |
| record_format | dspace |
| spelling | ums.eprints-203932024-01-31T07:04:00Z https://eprints.ums.edu.my/id/eprint/20393/ Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics QA150-272.5 Algebra 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. UTM 2010 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20393/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/20393/2/FULL%20TEXT.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2010) Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method. Journal of Fundamental Sciences, 6 (2). pp. 1-7. ISSN 1823-626X https://doi.org/10.11113/mjfas.v6n2.191 |
| spellingShingle | QA Mathematics QA150-272.5 Algebra Mohana Sundaram Muthuvalu Jumat Sulaiman Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title | Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title_full | Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title_fullStr | Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title_full_unstemmed | Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title_short | Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method |
| title_sort | solving second kind linear fredholm integral equation via quarter sweep sor iterative method |
| topic | QA Mathematics QA150-272.5 Algebra |
| url | https://eprints.ums.edu.my/id/eprint/20393/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/20393/2/FULL%20TEXT.pdf |
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