VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

In this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples le...

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Main Authors: J. Biazar, H. Ebrahimi
Format: Article
Language:English
Published: Islamic Azad University, Rasht Branch 2009-04-01
Series:Iranian Journal of Optimization
Subjects:
Online Access:http://ijo.iaurasht.ac.ir/article_513235_14a9e303586f0f535073676a64a9d2a0.pdf
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author J. Biazar
H. Ebrahimi
author_facet J. Biazar
H. Ebrahimi
author_sort J. Biazar
collection DOAJ
description In this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.
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spelling doaj.art-2eeb68cb6773433d914ab566241eeeee2022-12-22T01:26:44ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-54272009-04-010111323513235VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KINDJ. Biazar0H. Ebrahimi1Department of Mathematics, Faculty of Science, University of GuilanDepartment of Mathematics, Islamic Azad University, Rasht branchIn this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.http://ijo.iaurasht.ac.ir/article_513235_14a9e303586f0f535073676a64a9d2a0.pdfvariational iteration methodFREDHOLM INTEGRAL EQUATIONLagrange multiplierRESTRICTED VARIATION
spellingShingle J. Biazar
H. Ebrahimi
VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
Iranian Journal of Optimization
variational iteration method
FREDHOLM INTEGRAL EQUATION
Lagrange multiplier
RESTRICTED VARIATION
title VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
title_full VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
title_fullStr VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
title_full_unstemmed VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
title_short VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
title_sort variational iteration method for fredholm integral equations of the second kind
topic variational iteration method
FREDHOLM INTEGRAL EQUATION
Lagrange multiplier
RESTRICTED VARIATION
url http://ijo.iaurasht.ac.ir/article_513235_14a9e303586f0f535073676a64a9d2a0.pdf
work_keys_str_mv AT jbiazar variationaliterationmethodforfredholmintegralequationsofthesecondkind
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