Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind

Detalhes bibliográficos
Autor(a) principal: Avazzadeh,Zakieh
Data de Publicação: 2012
Outros Autores: Heydari,Mohammad
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100007
Resumo: In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for these integral equations. This method transforms the integral equation to algebraic equations with unknown Chebyshev coefficients. The high accuracy of this method is verified through some numerical examples. Mathematical subject classification: 65R20, 41A50, 41A55, 65M70.
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spelling Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kindChebyshev polynomialstwo dimensional integral equationscollocation methodIn this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for these integral equations. This method transforms the integral equation to algebraic equations with unknown Chebyshev coefficients. The high accuracy of this method is verified through some numerical examples. Mathematical subject classification: 65R20, 41A50, 41A55, 65M70.Sociedade Brasileira de Matemática Aplicada e Computacional2012-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100007Computational & Applied Mathematics v.31 n.1 2012reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022012000100007info:eu-repo/semantics/openAccessAvazzadeh,ZakiehHeydari,Mohammadeng2012-04-26T00:00:00Zoai:scielo:S1807-03022012000100007Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-04-26T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
title Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
spellingShingle Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
Avazzadeh,Zakieh
Chebyshev polynomials
two dimensional integral equations
collocation method
title_short Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
title_full Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
title_fullStr Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
title_full_unstemmed Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
title_sort Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
author Avazzadeh,Zakieh
author_facet Avazzadeh,Zakieh
Heydari,Mohammad
author_role author
author2 Heydari,Mohammad
author2_role author
dc.contributor.author.fl_str_mv Avazzadeh,Zakieh
Heydari,Mohammad
dc.subject.por.fl_str_mv Chebyshev polynomials
two dimensional integral equations
collocation method
topic Chebyshev polynomials
two dimensional integral equations
collocation method
description In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for these integral equations. This method transforms the integral equation to algebraic equations with unknown Chebyshev coefficients. The high accuracy of this method is verified through some numerical examples. Mathematical subject classification: 65R20, 41A50, 41A55, 65M70.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000100007
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022012000100007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.31 n.1 2012
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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