Galerkin spectral method for the fractional nonlocal thermistor problem
Autor(a) principal: | |
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Data de Publicação: | 2017 |
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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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7160 |
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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 |
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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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1799137579777392640 |