Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2015
Outros Autores: Barbeiro, Sílvia, Serranho, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44987
https://doi.org/10.1137/130933642
Resumo: This paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the numerical solution considering implicit and semi-implicit discretizations. To illustrate the theoretical results we present some numerical examples computed with a semi-implicit scheme applied to a nonlinear equation.
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spelling Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion ProcessesThis paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the numerical solution considering implicit and semi-implicit discretizations. To illustrate the theoretical results we present some numerical examples computed with a semi-implicit scheme applied to a nonlinear equation.Society for Industrial and Applied Mathematics (SIAM)2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44987http://hdl.handle.net/10316/44987https://doi.org/10.1137/130933642https://doi.org/10.1137/130933642enghttps://doi.org/10.1137/130933642Araújo, AdéritoBarbeiro, SílviaSerranho, Pedroinfo: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:RCAAP2021-06-29T10:03:19Zoai:estudogeral.uc.pt:10316/44987Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:28.453006Repositório 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 Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
title Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
spellingShingle Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
Araújo, Adérito
title_short Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
title_full Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
title_fullStr Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
title_full_unstemmed Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
title_sort Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
author Araújo, Adérito
author_facet Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
author_role author
author2 Barbeiro, Sílvia
Serranho, Pedro
author2_role author
author
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
description This paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the numerical solution considering implicit and semi-implicit discretizations. To illustrate the theoretical results we present some numerical examples computed with a semi-implicit scheme applied to a nonlinear equation.
publishDate 2015
dc.date.none.fl_str_mv 2015
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/10316/44987
http://hdl.handle.net/10316/44987
https://doi.org/10.1137/130933642
https://doi.org/10.1137/130933642
url http://hdl.handle.net/10316/44987
https://doi.org/10.1137/130933642
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1137/130933642
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics (SIAM)
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics (SIAM)
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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