Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind

Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind

The theory of integral equation is one of the major topics of applied mathematics. The main purpose of this paper is to introduce a numerical method based on the interpolation for approximating the solution of the second kind linear Fredholm integral equation. In this case, the divided differenc...

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Main Authors: N. Parandin, Sh. Gholamtabar
Format: Article
Language:English
Published: Islamic Azad University 2010-03-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/401/214
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spelling doaj-0e81bba4cd0a4603af8119a8cd493c912020-11-25T03:21:27ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992010-03-01513139Numerical Solution of The Linear Fredholm Integral Equations of the Second KindN. Parandin0Sh. Gholamtabar1Islamic Azad University-Kermanshah BranchIslamic Azad University-Ayatollah Amoli BranchThe theory of integral equation is one of the major topics of applied mathematics. The main purpose of this paper is to introduce a numerical method based on the interpolation for approximating the solution of the second kind linear Fredholm integral equation. In this case, the divided differences method is applied. At last, two numerical examples are presented to show the accuracy of the proposed methodhttp://ijmex.com/index.php/ijmex/article/view/401/214
collection DOAJ
language English
format Article
sources DOAJ
author N. Parandin
Sh. Gholamtabar
spellingShingle N. Parandin
Sh. Gholamtabar
Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
Journal of Mathematical Extension
author_facet N. Parandin
Sh. Gholamtabar
author_sort N. Parandin
title Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
title_short Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
title_full Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
title_fullStr Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
title_full_unstemmed Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
title_sort numerical solution of the linear fredholm integral equations of the second kind
publisher Islamic Azad University
series Journal of Mathematical Extension
issn 1735-8299
1735-8299
publishDate 2010-03-01
description The theory of integral equation is one of the major topics of applied mathematics. The main purpose of this paper is to introduce a numerical method based on the interpolation for approximating the solution of the second kind linear Fredholm integral equation. In this case, the divided differences method is applied. At last, two numerical examples are presented to show the accuracy of the proposed method
url http://ijmex.com/index.php/ijmex/article/view/401/214
work_keys_str_mv AT nparandin numericalsolutionofthelinearfredholmintegralequationsofthesecondkind
AT shgholamtabar numericalsolutionofthelinearfredholmintegralequationsofthesecondkind
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