Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations

Detalhes bibliográficos
Autor(a) principal: Bhrawy, A.H.
Data de Publicação: 2016
Outros Autores: Abdelkawy, M.A., Machado, J. A. Tenreiro, Amin, A.Z.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9417
Resumo: This paper reports a new spectral collocation technique for solving second kind Fredholm integral equations (FIEs). We develop a collocation scheme to approximate FIEs by means of the shifted Legendre–Gauss–Lobatto collocation (SL–GL-C) method. Moreover, we adapt the SL–GL-C algorithm to solve one dimensional second kind FIEs and system of FIEs. Two numerical algorithms are also investigated to solve the two dimensional FIEs. Extensive numerical tests illustrate the capability and high accuracy of the proposed methodologies.
id RCAP_7c0259cde67e28f174022faf7b30ad21
oai_identifier_str oai:recipp.ipp.pt:10400.22/9417
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equationsFredholm integral equationSpectral collocation methodShifted Legendre polynomialsSystem of Fredholm integral equationsShifted Legendre–Gauss–LobattoQuadratureThis paper reports a new spectral collocation technique for solving second kind Fredholm integral equations (FIEs). We develop a collocation scheme to approximate FIEs by means of the shifted Legendre–Gauss–Lobatto collocation (SL–GL-C) method. Moreover, we adapt the SL–GL-C algorithm to solve one dimensional second kind FIEs and system of FIEs. Two numerical algorithms are also investigated to solve the two dimensional FIEs. Extensive numerical tests illustrate the capability and high accuracy of the proposed methodologies.ElsevierRepositório Científico do Instituto Politécnico do PortoBhrawy, A.H.Abdelkawy, M.A.Machado, J. A. TenreiroAmin, A.Z.M.20162117-01-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9417enghttp://dx.doi.org/10.1016/j.camwa.2016.04.011metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:50:48Zoai:recipp.ipp.pt:10400.22/9417Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:01.266997Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
title Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
spellingShingle Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
Bhrawy, A.H.
Fredholm integral equation
Spectral collocation method
Shifted Legendre polynomials
System of Fredholm integral equations
Shifted Legendre–Gauss–Lobatto
Quadrature
title_short Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
title_full Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
title_fullStr Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
title_full_unstemmed Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
title_sort Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations
author Bhrawy, A.H.
author_facet Bhrawy, A.H.
Abdelkawy, M.A.
Machado, J. A. Tenreiro
Amin, A.Z.M.
author_role author
author2 Abdelkawy, M.A.
Machado, J. A. Tenreiro
Amin, A.Z.M.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Bhrawy, A.H.
Abdelkawy, M.A.
Machado, J. A. Tenreiro
Amin, A.Z.M.
dc.subject.por.fl_str_mv Fredholm integral equation
Spectral collocation method
Shifted Legendre polynomials
System of Fredholm integral equations
Shifted Legendre–Gauss–Lobatto
Quadrature
topic Fredholm integral equation
Spectral collocation method
Shifted Legendre polynomials
System of Fredholm integral equations
Shifted Legendre–Gauss–Lobatto
Quadrature
description This paper reports a new spectral collocation technique for solving second kind Fredholm integral equations (FIEs). We develop a collocation scheme to approximate FIEs by means of the shifted Legendre–Gauss–Lobatto collocation (SL–GL-C) method. Moreover, we adapt the SL–GL-C algorithm to solve one dimensional second kind FIEs and system of FIEs. Two numerical algorithms are also investigated to solve the two dimensional FIEs. Extensive numerical tests illustrate the capability and high accuracy of the proposed methodologies.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2117-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9417
url http://hdl.handle.net/10400.22/9417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1016/j.camwa.2016.04.011
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799131395878027264

Registros relacionados