Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method
In this paper, an experimental study is conducted to show the efficiency of the Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method by using the quadrature approximation equations to obtain numerical solutions of the first kind linear Fredholm integral equations. Furthermore, the deriv...
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| Format: | Article |
| Language: | English |
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2011
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| Online Access: | https://eprints.ums.edu.my/id/eprint/20676/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf |
| _version_ | 1825713548396855296 |
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| author | M.S. Muthuvalu Jumat Sulaiman |
| author_facet | M.S. Muthuvalu Jumat Sulaiman |
| author_sort | M.S. Muthuvalu |
| collection | UMS |
| description | In this paper, an experimental study is conducted to show the efficiency of the Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method by using the quadrature approximation equations to obtain numerical solutions of the first kind linear Fredholm integral equations. Furthermore, the derivation and implementation of the QSSOR method in solving first kind linear Fredholm integral equations are also presented. Numerical examples and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-06T02:58:17Z |
| format | Article |
| id | ums.eprints-20676 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:58:17Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ums.eprints-206762018-08-03T02:58:00Z https://eprints.ums.edu.my/id/eprint/20676/ Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method M.S. Muthuvalu Jumat Sulaiman QA Mathematics In this paper, an experimental study is conducted to show the efficiency of the Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method by using the quadrature approximation equations to obtain numerical solutions of the first kind linear Fredholm integral equations. Furthermore, the derivation and implementation of the QSSOR method in solving first kind linear Fredholm integral equations are also presented. Numerical examples and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. 2011 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20676/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf M.S. Muthuvalu and Jumat Sulaiman (2011) Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method. International Journal of Open Problems in Computer Science and Mathematics. Vol. 4. No. 1, March 2011: 184-196. [ISSN: 1998-6262], Indexed by Zentralblatt MATH, EBSCO, (EMIS),ElibM, (AMS), (DOAJ)., 33 (1). pp. 49-57. |
| spellingShingle | QA Mathematics M.S. Muthuvalu Jumat Sulaiman Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title | Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title_full | Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title_fullStr | Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title_full_unstemmed | Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title_short | Numerical solutions of first kind Linear Fredholm Integral Equations using quarter-sweep successive over-relaxation (QSSOR) Iterative Method |
| title_sort | numerical solutions of first kind linear fredholm integral equations using quarter sweep successive over relaxation qssor iterative method |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/20676/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf |
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