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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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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
score 13.222552

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