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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Bibliographic Details
Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: Modern Science Publishers 2012
Subjects:
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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Summary: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.