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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...

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Main Authors: Muthuvalu, Mohana Sundaram, Aruchunan, Elayaraja, Md Akhir, Mohd Kamalrulzaman, Sulaiman, Jumat, Abdul Karim, Samsul Ariffin
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access: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
http://psasir.upm.edu.my/id/eprint/57642/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Conference or Workshop Item
author Muthuvalu, Mohana Sundaram
Aruchunan, Elayaraja
Md Akhir, Mohd Kamalrulzaman
Sulaiman, Jumat
Abdul Karim, Samsul Ariffin
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
author_facet Muthuvalu, Mohana Sundaram
Aruchunan, Elayaraja
Md Akhir, Mohd Kamalrulzaman
Sulaiman, Jumat
Abdul Karim, Samsul Ariffin
author_sort Muthuvalu, Mohana Sundaram
title 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_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_sort numerical performance of half-sweep sor method for solving second order composite closed newton-cotes system
publisher AIP Publishing LLC
publishDate 2014
url 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
http://psasir.upm.edu.my/id/eprint/57642/
_version_ 1643836548114808832
score 13.211869

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