An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time

Detalhes bibliográficos
Autor(a) principal: Ford, N. J.
Data de Publicação: 2015
Outros Autores: Luisa Morgado, Maria, Rebelo, 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/10362/20827
Resumo: Sem PDF
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spelling An implicit finite difference approximation for the solution of the diffusion equation with distributed order in timeCaputo derivativefractional differential equationsubdiffusionfinite difference methoddistributed order differential equationFRACTIONAL SUB-DIFFUSIONSUBDIFFUSION EQUATIONSTABILITYSCHEMESem PDFIn this paper we are concerned with the numerical solution of a diffusion equation in which the time derivative is of non-integer order, i.e., in the interval (0, 1). An implicit numerical method is presented and its unconditional stability and convergence are proved. Two numerical examples are provided to illustrate the obtained theoretical results.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNFord, N. J.Luisa Morgado, MariaRebelo, M.2017-05-30T14:01:57Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article17application/pdfhttp://hdl.handle.net/10362/20827eng1068-9613PURE: 1422634info: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:RCAAP2024-03-11T04:06:42Zoai:run.unl.pt:10362/20827Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:26:30.011630Repositório 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 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
title An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
spellingShingle An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
Ford, N. J.
Caputo derivative
fractional differential equation
subdiffusion
finite difference method
distributed order differential equation
FRACTIONAL SUB-DIFFUSION
SUBDIFFUSION EQUATION
STABILITY
SCHEME
title_short An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
title_full An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
title_fullStr An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
title_full_unstemmed An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
title_sort An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
author Ford, N. J.
author_facet Ford, N. J.
Luisa Morgado, Maria
Rebelo, M.
author_role author
author2 Luisa Morgado, Maria
Rebelo, M.
author2_role author
author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Ford, N. J.
Luisa Morgado, Maria
Rebelo, M.
dc.subject.por.fl_str_mv Caputo derivative
fractional differential equation
subdiffusion
finite difference method
distributed order differential equation
FRACTIONAL SUB-DIFFUSION
SUBDIFFUSION EQUATION
STABILITY
SCHEME
topic Caputo derivative
fractional differential equation
subdiffusion
finite difference method
distributed order differential equation
FRACTIONAL SUB-DIFFUSION
SUBDIFFUSION EQUATION
STABILITY
SCHEME
description Sem PDF
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2017-05-30T14:01:57Z
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/10362/20827
url http://hdl.handle.net/10362/20827
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1068-9613
PURE: 1422634
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 17
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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