Solving second kind linear Fredholm integral equation 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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Bibliographic Details
Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
English
Published: UTM 2010
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/20393/1/ABSTRACT.pdf
https://eprints.ums.edu.my/id/eprint/20393/2/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/20393/
https://doi.org/10.11113/mjfas.v6n2.191
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Summary: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.