Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system
In this paper, application of the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is extended by solving second order composite closed Newton-Cotes quadrature (2-CCNC) system. The performance of HSSOR method in solving 2-CCNC system is comparatively studied by their application on lin...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57642/ http://psasir.upm.edu.my/id/eprint/57642/1/Numerical%20performance%20of%20half-sweep%20SOR%20method%20for%20solving%20second%20order%20composite%20closed%20Newton-Cotes%20system.pdf |
| _version_ | 1848853423476178944 |
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| author | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin |
| author_facet | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja 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, application of the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is extended by solving second order composite closed Newton-Cotes quadrature (2-CCNC) system. The performance of HSSOR method in solving 2-CCNC system is comparatively studied by their application on linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. In addition, numerical results by solving two test problems are included and compared with the standard Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) methods. Numerical results demonstrate that HSSOR method is an efficient method among the tested methods. |
| first_indexed | 2025-11-15T10:53:44Z |
| format | Conference or Workshop Item |
| id | upm-57642 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:44Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576422017-10-24T08:46:32Z http://psasir.upm.edu.my/id/eprint/57642/ Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin In this paper, application of the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is extended by solving second order composite closed Newton-Cotes quadrature (2-CCNC) system. The performance of HSSOR method in solving 2-CCNC system is comparatively studied by their application on linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. In addition, numerical results by solving two test problems are included and compared with the standard Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) methods. Numerical results demonstrate that HSSOR method is an efficient method among the tested methods. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57642/1/Numerical%20performance%20of%20half-sweep%20SOR%20method%20for%20solving%20second%20order%20composite%20closed%20Newton-Cotes%20system.pdf Muthuvalu, Mohana Sundaram and Aruchunan, Elayaraja and Md Akhir, Mohd Kamalrulzaman and Sulaiman, Jumat and Abdul Karim, Samsul Ariffin (2014) Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 123-131). 10.1063/1.4898456 |
| spellingShingle | Muthuvalu, Mohana Sundaram Aruchunan, Elayaraja Md Akhir, Mohd Kamalrulzaman Sulaiman, Jumat Abdul Karim, Samsul Ariffin Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title | Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title_full | Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title_fullStr | Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title_full_unstemmed | Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title_short | Numerical performance of half-sweep SOR method for solving second order composite closed Newton-Cotes system |
| title_sort | numerical performance of half-sweep sor method for solving second order composite closed newton-cotes system |
| url | http://psasir.upm.edu.my/id/eprint/57642/ http://psasir.upm.edu.my/id/eprint/57642/ http://psasir.upm.edu.my/id/eprint/57642/1/Numerical%20performance%20of%20half-sweep%20SOR%20method%20for%20solving%20second%20order%20composite%20closed%20Newton-Cotes%20system.pdf |