Wavelet Galerkin method for solving singular integral equations

Detalhes bibliográficos
Autor(a) principal: Maleknejad,K
Data de Publicação: 2012
Outros Autores: Nosrati,M, Najafi,E
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200009
Resumo: An effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. Mathematical subject classification: 45A05, 32A55, 34A25, 65T60.
id SBMAC-2_9f36c808046b2dc5a62f5df0b583cd97
oai_identifier_str oai:scielo:S1807-03022012000200009
network_acronym_str SBMAC-2
network_name_str Computational & Applied Mathematics
repository_id_str
spelling Wavelet Galerkin method for solving singular integral equationsintegral equationweakly singularoperational matriceslinear B-spline waveletsthresholding parameterAn effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. Mathematical subject classification: 45A05, 32A55, 34A25, 65T60.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=S1807-03022012000200009Computational & Applied Mathematics v.31 n.2 2012reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022012000200009info:eu-repo/semantics/openAccessMaleknejad,KNosrati,MNajafi,Eeng2012-12-05T00:00:00Zoai:scielo:S1807-03022012000200009Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-12-05T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Wavelet Galerkin method for solving singular integral equations
title Wavelet Galerkin method for solving singular integral equations
spellingShingle Wavelet Galerkin method for solving singular integral equations
Maleknejad,K
integral equation
weakly singular
operational matrices
linear B-spline wavelets
thresholding parameter
title_short Wavelet Galerkin method for solving singular integral equations
title_full Wavelet Galerkin method for solving singular integral equations
title_fullStr Wavelet Galerkin method for solving singular integral equations
title_full_unstemmed Wavelet Galerkin method for solving singular integral equations
title_sort Wavelet Galerkin method for solving singular integral equations
author Maleknejad,K
author_facet Maleknejad,K
Nosrati,M
Najafi,E
author_role author
author2 Nosrati,M
Najafi,E
author2_role author
author
dc.contributor.author.fl_str_mv Maleknejad,K
Nosrati,M
Najafi,E
dc.subject.por.fl_str_mv integral equation
weakly singular
operational matrices
linear B-spline wavelets
thresholding parameter
topic integral equation
weakly singular
operational matrices
linear B-spline wavelets
thresholding parameter
description An effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. Mathematical subject classification: 45A05, 32A55, 34A25, 65T60.
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
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200009
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022012000200009
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.2 2012
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
_version_ 1754734890474012672