Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method

In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations us...

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Main Authors:	Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format:	Article
Language:	English
Published:	2010
Subjects:	QA Mathematics
Online Access:	http://eprints.ums.edu.my/20381/ http://eprints.ums.edu.my/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf

id	ums-20381
recordtype	eprints
spelling	ums-203812018-07-05T06:40:27Z http://eprints.ums.edu.my/20381/ Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method Mohana Sundaram Muthuvalu, Jumat Sulaiman, QA Mathematics In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. 2010 Article PeerReviewed text en http://eprints.ums.edu.my/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf Mohana Sundaram Muthuvalu, and Jumat Sulaiman, (2010) Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method. Journal of Fundamental Sciences, 6 (2). pp. 104-110. ISSN 1823-626x
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Sabah Malaysia
building	UMS Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mohana Sundaram Muthuvalu, Jumat Sulaiman, Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
description	In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method.
format	Article
author	Mohana Sundaram Muthuvalu, Jumat Sulaiman,
author_facet	Mohana Sundaram Muthuvalu, Jumat Sulaiman,
author_sort	Mohana Sundaram Muthuvalu,
title	Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
title_short	Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
title_full	Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
title_fullStr	Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
title_full_unstemmed	Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method
title_sort	solving second kind linear fredholm integral equations via quarter-sweep sor iterative method
publishDate	2010
url	http://eprints.ums.edu.my/20381/ http://eprints.ums.edu.my/20381/1/Solving%20second%20kind%20linear%20Fredholm%20integral%20equations%20via%20quarter.pdf
first_indexed	2018-09-05T09:42:59Z
last_indexed	2018-09-05T09:42:59Z
_version_	1610760144822468608

Solving second kind linear Fredholm integral equations via quarter-sweep SOR iterative method

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