A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind

A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind

A novel numerical method is developed for solving two-dimensional linear Fredholm integral equations of the second kind by integral mean value theorem. In the proposed algorithm, each element of the generated discrete matrix is not required to calculate integrals, and the approximate integral operat...

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Main Authors: Yanying Ma, Jin Huang, Hu Li
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/625013
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spelling doaj-5b7cd1ea45a845008950cda71567fe462020-11-24T23:16:30ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/625013625013A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second KindYanying Ma0Jin Huang1Hu Li2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaA novel numerical method is developed for solving two-dimensional linear Fredholm integral equations of the second kind by integral mean value theorem. In the proposed algorithm, each element of the generated discrete matrix is not required to calculate integrals, and the approximate integral operator is convergent according to collectively compact theory. Convergence and error analyses of the approximate solution are provided. In addition, an algorithm is given. The reliability and efficiency of the proposed method will be illustrated by comparison with some numerical results.http://dx.doi.org/10.1155/2015/625013
collection DOAJ
language English
format Article
sources DOAJ
author Yanying Ma
Jin Huang
Hu Li
spellingShingle Yanying Ma
Jin Huang
Hu Li
A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
Mathematical Problems in Engineering
author_facet Yanying Ma
Jin Huang
Hu Li
author_sort Yanying Ma
title A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
title_short A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
title_full A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
title_fullStr A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
title_full_unstemmed A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind
title_sort novel numerical method of two-dimensional fredholm integral equations of the second kind
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description A novel numerical method is developed for solving two-dimensional linear Fredholm integral equations of the second kind by integral mean value theorem. In the proposed algorithm, each element of the generated discrete matrix is not required to calculate integrals, and the approximate integral operator is convergent according to collectively compact theory. Convergence and error analyses of the approximate solution are provided. In addition, an algorithm is given. The reliability and efficiency of the proposed method will be illustrated by comparison with some numerical results.
url http://dx.doi.org/10.1155/2015/625013
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AT jinhuang anovelnumericalmethodoftwodimensionalfredholmintegralequationsofthesecondkind
AT huli anovelnumericalmethodoftwodimensionalfredholmintegralequationsofthesecondkind
AT yanyingma novelnumericalmethodoftwodimensionalfredholmintegralequationsofthesecondkind
AT jinhuang novelnumericalmethodoftwodimensionalfredholmintegralequationsofthesecondkind
AT huli novelnumericalmethodoftwodimensionalfredholmintegralequationsofthesecondkind
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