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...

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Main Authors:	Muthuvalu, M.S., Aruchunan, E., Koh, W.S., Akhir, M.K.M., Sulaiman, J., Karim, S.A.A.
Format:	Conference or Workshop Item
Published:	American Institute of Physics Inc. 2014
Online Access:	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904629045&doi=10.1063%2f1.4887566&partnerID=40&md5=3b350d2b91dd71eb90913e9d2e01a58a http://eprints.utp.edu.my/32312/
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Institution:	Universiti Teknologi Petronas

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spelling	my.utp.eprints.323122022-03-29T05:03:47Z Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations Muthuvalu, M.S. Aruchunan, E. Koh, W.S. Akhir, M.K.M. Sulaiman, J. Karim, S.A.A. 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. Â© 2014 AIP Publishing LLC. American Institute of Physics Inc. 2014 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904629045&doi=10.1063%2f1.4887566&partnerID=40&md5=3b350d2b91dd71eb90913e9d2e01a58a Muthuvalu, M.S. and Aruchunan, E. and Koh, W.S. and Akhir, M.K.M. and Sulaiman, J. and Karim, S.A.A. (2014) Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations. In: UNSPECIFIED. http://eprints.utp.edu.my/32312/
institution	Universiti Teknologi Petronas
building	UTP Resource Centre
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Petronas
content_source	UTP Institutional Repository
url_provider	http://eprints.utp.edu.my/
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. Â© 2014 AIP Publishing LLC.
format	Conference or Workshop Item
author	Muthuvalu, M.S. Aruchunan, E. Koh, W.S. Akhir, M.K.M. Sulaiman, J. Karim, S.A.A.
spellingShingle	Muthuvalu, M.S. Aruchunan, E. Koh, W.S. Akhir, M.K.M. Sulaiman, J. Karim, S.A.A. Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations
author_facet	Muthuvalu, M.S. Aruchunan, E. Koh, W.S. Akhir, M.K.M. Sulaiman, J. Karim, S.A.A.
author_sort	Muthuvalu, M.S.
title	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_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_sort	numerical performance of aor methods in solving first order composite closed newton-cotes quadrature algebraic equations
publisher	American Institute of Physics Inc.
publishDate	2014
url	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904629045&doi=10.1063%2f1.4887566&partnerID=40&md5=3b350d2b91dd71eb90913e9d2e01a58a http://eprints.utp.edu.my/32312/
_version_	1738657369710133248

Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations

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