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Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel

The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredhol...

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Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: Modern Science Publishers 2012
Subjects:
QA Mathematics
Online Access:https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf
https://eprints.ums.edu.my/id/eprint/19145/
https://doi.org/10.20454/jmmnm.2012.104
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spelling my.ums.eprints.191452018-03-12T07:14:40Z https://eprints.ums.edu.my/id/eprint/19145/ Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredholm integral equations. The details of the proposed methods are explained. Some numerical analyses are given in order to verify the performance of the proposed methods. Modern Science Publishers 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2012) Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel. Journal of Modern Methods in Numerical Mathematics, 3 (1). pp. 64-71. ISSN 2090-4770 https://doi.org/10.20454/jmmnm.2012.104
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mohana Sundaram Muthuvalu
Jumat Sulaiman
Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
description The main aim of this paper is to investigate the performance a family of Gauss-Seidel (GS) iterative method consists of Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS) methods in solving linear systems associated with the first kind linear Fredholm integral equations. The details of the proposed methods are explained. Some numerical analyses are given in order to verify the performance of the proposed methods.
format Article
author Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_facet Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_sort Mohana Sundaram Muthuvalu
title Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
title_short Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
title_full Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
title_fullStr Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
title_full_unstemmed Computational methods based on complexity reduction approach for first kind linear Fredholm integral equations with semi-smooth kernel
title_sort computational methods based on complexity reduction approach for first kind linear fredholm integral equations with semi-smooth kernel
publisher Modern Science Publishers
publishDate 2012
url https://eprints.ums.edu.my/id/eprint/19145/1/Computational%20methods%20based%20on%20complexity%20reduction%20approach%20for%20first%20kind%20linear%20Fredholm%20integral%20equations%20with%20semi.pdf
https://eprints.ums.edu.my/id/eprint/19145/
https://doi.org/10.20454/jmmnm.2012.104
_version_ 1760229541616287744
score 13.211869

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