Galerkin spectral method for the fractional nonlocal thermistor problem

Detalhes bibliográficos
Autor(a) principal: Sidi Ammi, M. R.
Data de Publicação: 2017
Outros Autores: Torres, D. F. 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/10773/18253
Resumo: We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space. © 2016 Elsevier Ltd
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spelling Galerkin spectral method for the fractional nonlocal thermistor problemError analysisFinite difference methodFractional differential equationsGalerkin spectral methodStabilityWe develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space. © 2016 Elsevier LtdElsevier20172017-01-01T00:00:00Z2018-12-26T12:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18253eng0898-122110.1016/j.camwa.2016.05.033Sidi Ammi, M. R.Torres, D. F. M.info: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:RCAAP2024-02-22T11:34:19Zoai:ria.ua.pt:10773/18253Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:52:54.762409Repositório 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 Galerkin spectral method for the fractional nonlocal thermistor problem
title Galerkin spectral method for the fractional nonlocal thermistor problem
spellingShingle Galerkin spectral method for the fractional nonlocal thermistor problem
Sidi Ammi, M. R.
Error analysis
Finite difference method
Fractional differential equations
Galerkin spectral method
Stability
title_short Galerkin spectral method for the fractional nonlocal thermistor problem
title_full Galerkin spectral method for the fractional nonlocal thermistor problem
title_fullStr Galerkin spectral method for the fractional nonlocal thermistor problem
title_full_unstemmed Galerkin spectral method for the fractional nonlocal thermistor problem
title_sort Galerkin spectral method for the fractional nonlocal thermistor problem
author Sidi Ammi, M. R.
author_facet Sidi Ammi, M. R.
Torres, D. F. M.
author_role author
author2 Torres, D. F. M.
author2_role author
dc.contributor.author.fl_str_mv Sidi Ammi, M. R.
Torres, D. F. M.
dc.subject.por.fl_str_mv Error analysis
Finite difference method
Fractional differential equations
Galerkin spectral method
Stability
topic Error analysis
Finite difference method
Fractional differential equations
Galerkin spectral method
Stability
description We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space. © 2016 Elsevier Ltd
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-12-26T12:00:00Z
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/10773/18253
url http://hdl.handle.net/10773/18253
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0898-1221
10.1016/j.camwa.2016.05.033
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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
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