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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| Other Authors: | |
| Format: | Conference Paper |
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American Institute of Physics
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/23877 |
| _version_ | 1848751274014539776 |
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| author | Muthuvalu, M. Aruchunan, Elayaraja Akhir, K. Sulaiman, J. Karim, S. |
| author2 | Sarat Chandra Dass |
| author_facet | Sarat Chandra Dass Muthuvalu, M. Aruchunan, Elayaraja Akhir, K. Sulaiman, J. Karim, S. |
| author_sort | Muthuvalu, M. |
| building | Curtin 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 | 2025-11-14T07:50:07Z |
| format | Conference Paper |
| id | curtin-20.500.11937-23877 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:50:07Z |
| publishDate | 2014 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-238772023-02-27T07:34:30Z Numerical Performance of Half-Sweep SOR Method for Solving Second Order Composite Closed Newton-Cotes System Muthuvalu, M. Aruchunan, Elayaraja Akhir, K. Sulaiman, J. Karim, S. Sarat Chandra Dass Beh Hoe Guan Aamir Hussain Bhat Ibrahima Faye Hassan Soleimani Noorhana Yahya 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. 2014 Conference Paper http://hdl.handle.net/20.500.11937/23877 10.1063/1.4898456 American Institute of Physics restricted |
| spellingShingle | Muthuvalu, M. Aruchunan, Elayaraja Akhir, K. Sulaiman, J. Karim, S. 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://hdl.handle.net/20.500.11937/23877 |