Wavelet Galerkin method for solving singular integral equations
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
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. |
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Computational & Applied Mathematics |
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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 |