Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations
In this paper, the application of the Accelerated Over-Relaxation (AOR) iterative method is extended to solve first order composite closed Newton-Cotes quadrature (1-CCNC) algebraic equations arising from second kind linear Fredholm integral equations. The formulation and implementation of the metho...
| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57640/ http://psasir.upm.edu.my/id/eprint/57640/1/Numerical%20performance%20of%20AOR%20methods%20in%20solving%20first%20order%20composite%20closed%20Newton-Cotes%20quadrature%20algebraic%20equations.pdf |
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| author | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Koh, Wei Sin Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin |
| author_facet | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Koh, Wei Sin Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin |
| author_sort | Muthuvalu, Mohana Sundaram |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the application of the Accelerated Over-Relaxation (AOR) iterative method is extended to solve first order composite closed Newton-Cotes quadrature (1-CCNC) algebraic equations arising from second kind linear Fredholm integral equations. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. |
| first_indexed | 2025-11-15T10:53:44Z |
| format | Conference or Workshop Item |
| id | upm-57640 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:44Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576402017-10-24T08:42:17Z http://psasir.upm.edu.my/id/eprint/57640/ Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Koh, Wei Sin Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin In this paper, the application of the Accelerated Over-Relaxation (AOR) iterative method is extended to solve first order composite closed Newton-Cotes quadrature (1-CCNC) algebraic equations arising from second kind linear Fredholm integral equations. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57640/1/Numerical%20performance%20of%20AOR%20methods%20in%20solving%20first%20order%20composite%20closed%20Newton-Cotes%20quadrature%20algebraic%20equations.pdf Muthuvalu, Mohana Sundaram and Aruchunan, Elayaraja and Koh, Wei Sin and Md Akhir, Mohd Kamalrulzaman and Sulaiman, Jumat and Abdul Karim, Samsul Ariffin (2013) Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations. In: 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 Nov. 2013, Penang, Malaysia. (pp. 64-69). 10.1063/1.4887566 |
| spellingShingle | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Koh, Wei Sin Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title | Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title_full | Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title_fullStr | Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title_full_unstemmed | Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title_short | Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations |
| title_sort | numerical performance of aor methods in solving first order composite closed newton-cotes quadrature algebraic equations |
| url | http://psasir.upm.edu.my/id/eprint/57640/ http://psasir.upm.edu.my/id/eprint/57640/ http://psasir.upm.edu.my/id/eprint/57640/1/Numerical%20performance%20of%20AOR%20methods%20in%20solving%20first%20order%20composite%20closed%20Newton-Cotes%20quadrature%20algebraic%20equations.pdf |