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., Aruchunan, Elayaraja, Koh, W., Akhir, K., Sulaiman, J., Karim, S.
Other Authors: Mohd Tahir Ismail
Format: Conference Paper
Published: AIP 2014
Online Access:http://hdl.handle.net/20.500.11937/4126
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author Muthuvalu, M.
Aruchunan, Elayaraja
Koh, W.
Akhir, K.
Sulaiman, J.
Karim, S.
author2 Mohd Tahir Ismail
author_facet Mohd Tahir Ismail
Muthuvalu, M.
Aruchunan, Elayaraja
Koh, W.
Akhir, K.
Sulaiman, J.
Karim, S.
author_sort Muthuvalu, M.
building Curtin 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 2025-11-14T06:01:18Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T06:01:18Z
publishDate 2014
publisher AIP
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-41262023-02-22T06:24:15Z Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations Muthuvalu, M. Aruchunan, Elayaraja Koh, W. Akhir, K. Sulaiman, J. Karim, S. Mohd Tahir Ismail Syakila Ahmad Rosmanjawati Abdul Rahman 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. 2014 Conference Paper http://hdl.handle.net/20.500.11937/4126 10.1063/1.4887566 AIP unknown
spellingShingle Muthuvalu, M.
Aruchunan, Elayaraja
Koh, W.
Akhir, K.
Sulaiman, J.
Karim, S.
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://hdl.handle.net/20.500.11937/4126