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...

Full description

Saved in:
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Malaysia Sabah
Language: English
English
id my.ums.eprints.20393
record_format eprints
spelling my.ums.eprints.203932024-01-31T07:04:00Z https://eprints.ums.edu.my/id/eprint/20393/ Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics QA150-272.5 Algebra 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. UTM 2010 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20393/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/20393/2/FULL%20TEXT.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2010) Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method. Journal of Fundamental Sciences, 6 (2). pp. 1-7. ISSN 1823-626X https://doi.org/10.11113/mjfas.v6n2.191
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
English
topic QA Mathematics
QA150-272.5 Algebra
spellingShingle QA Mathematics
QA150-272.5 Algebra
Mohana Sundaram Muthuvalu
Jumat Sulaiman
Solving second kind linear Fredholm integral equation 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 equation via Quarter-Sweep SOR Iterative method
title_short Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method
title_full Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method
title_fullStr Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method
title_full_unstemmed Solving second kind linear Fredholm integral equation via Quarter-Sweep SOR Iterative method
title_sort solving second kind linear fredholm integral equation via quarter-sweep sor iterative method
publisher UTM
publishDate 2010
url 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
_version_ 1789941986067742720