Stability 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/10316/44988
https://doi.org/10.1093/imanum/dru037
Resumo: In this paper we consider explicit, implicit and semiimplicit finite difference schemes for a general nonlinear reaction–diffusion equation. The stability condition for each method is established and several particular cases are highlighted. To illustrate the theoretical results we present some numerical examples.
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spelling Stability of finite difference schemes for nonlinear complex reaction–diffusion processesIn this paper we consider explicit, implicit and semiimplicit finite difference schemes for a general nonlinear reaction–diffusion equation. The stability condition for each method is established and several particular cases are highlighted. To illustrate the theoretical results we present some numerical examples.Oxford University Press2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44988http://hdl.handle.net/10316/44988https://doi.org/10.1093/imanum/dru037https://doi.org/10.1093/imanum/dru037enghttps://doi.org/10.1093/imanum/dru037Araújo, 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:RCAAP2021-06-29T10:03:14Zoai:estudogeral.uc.pt:10316/44988Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:27.051059Repositório 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 Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
title Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
spellingShingle Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
Araújo, Adérito
title_short Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
title_full Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
title_fullStr Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
title_full_unstemmed Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
title_sort Stability 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 In this paper we consider explicit, implicit and semiimplicit finite difference schemes for a general nonlinear reaction–diffusion equation. The stability condition for each method is established and several particular cases are highlighted. To illustrate the theoretical results we present some numerical examples.
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/10316/44988
http://hdl.handle.net/10316/44988
https://doi.org/10.1093/imanum/dru037
https://doi.org/10.1093/imanum/dru037
url http://hdl.handle.net/10316/44988
https://doi.org/10.1093/imanum/dru037
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1093/imanum/dru037
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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
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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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