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: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/3744
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 processesFinite differencesComplex reaction-diffusionConvergenceThis 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.Repositório AbertoAraújo, AdéritoBarbeiro, SílviaSerranho, Pedro2015-03-03T13:08:12Z20152015-02-27T17:35:55Z2015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/3744porAraújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Convergence of finite difference schemes for nonlinear complex reaction-diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 51, nº 1 (2015), p. 228-2500036-1429DOI. 10.1137/130933642info: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:RCAAP2023-11-16T15:19:06Zoai:repositorioaberto.uab.pt:10400.2/3744Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:57.711009Repositório 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
Finite differences
Complex reaction-diffusion
Convergence
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.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
dc.subject.por.fl_str_mv Finite differences
Complex reaction-diffusion
Convergence
topic Finite differences
Complex reaction-diffusion
Convergence
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 2015-03-03T13:08:12Z
2015
2015-02-27T17:35:55Z
2015-01-01T00:00:00Z
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/10400.2/3744
url http://hdl.handle.net/10400.2/3744
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Convergence of finite difference schemes for nonlinear complex reaction-diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 51, nº 1 (2015), p. 228-250
0036-1429
DOI. 10.1137/130933642
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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instacron:RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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