Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations

1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.

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Main Authors:	Muthuvalu, M. Sundaram, Jumat, Sulaiman
Other Authors:	sundaram_at2@yahoo.com
Format:	Working Paper
Language:	English
Published:	Universiti Malaysia Perlis (UniMAP) 2010
Subjects:	Linear Fredholm equations Half-sweep iteration Newton-Cotes quadrature Successive Over-Relaxation Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:	http://dspace.unimap.edu.my/xmlui/handle/123456789/10305
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Institution:	Universiti Malaysia Perlis
Language:	English

id	my.unimap-10305
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spelling	my.unimap-103052010-11-25T05:11:11Z Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations Muthuvalu, M. Sundaram Jumat, Sulaiman sundaram_at2@yahoo.com jumat@ums.edu.my Linear Fredholm equations Half-sweep iteration Newton-Cotes quadrature Successive Over-Relaxation Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. In this paper, we investigate the applications of two different schemes of Newton-Cotes quadrature method that is repeated trapezoidal (RT) and repeated Simpson’s 31 (RS1) schemes via Half-Sweep Successive Over-Relaxation (HSSOR) iterative method to solve second kind linear Fredholm integral equations. Furthermore, the derivation and implementation of the proposed method are also included. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. 2010-11-25T05:11:11Z 2010-11-25T05:11:11Z 2010-06-02 Working Paper Vol.1(27), p.162-167 http://hdl.handle.net/123456789/10305 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution	Universiti Malaysia Perlis
building	UniMAP Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaysia Perlis
content_source	UniMAP Library Digital Repository
url_provider	http://dspace.unimap.edu.my/
language	English
topic	Linear Fredholm equations Half-sweep iteration Newton-Cotes quadrature Successive Over-Relaxation Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle	Linear Fredholm equations Half-sweep iteration Newton-Cotes quadrature Successive Over-Relaxation Regional Conference on Applied and Engineering Mathematics (RCAEM) Muthuvalu, M. Sundaram Jumat, Sulaiman Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
description	1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
author2	sundaram_at2@yahoo.com
author_facet	sundaram_at2@yahoo.com Muthuvalu, M. Sundaram Jumat, Sulaiman
format	Working Paper
author	Muthuvalu, M. Sundaram Jumat, Sulaiman
author_sort	Muthuvalu, M. Sundaram
title	Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
title_short	Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
title_full	Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
title_fullStr	Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
title_full_unstemmed	Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations
title_sort	comparisons of newton-cotes quadrature schemes with half-sweep sor method for second kind linear fredholm integral equations
publisher	Universiti Malaysia Perlis (UniMAP)
publishDate	2010
url	http://dspace.unimap.edu.my/xmlui/handle/123456789/10305
_version_	1643789787317927936

Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations

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