Stability of finite difference schemes for nonlinear complex reaction-diffusion processes

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2014
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/10400.2/3790
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 processesComplex reaction-diffusionStabilityFinite differencesIn 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 PressRepositório AbertoAraújo, AdéritoBarbeiro, SílviaSerranho, Pedro2015-03-23T09:45:58Z20142015-03-13T17:56:20Z2014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/3790engAraújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for nonlinear complex reaction-diffusion processes. "IMA Journal of Numerical Analysis" [Em linha]. ISSN 0272-4979 (Print) 1464-3642 (Online). (2014), p. 1-230272-497910.1093/imanum/dru037info: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:RCAAP2023-11-16T15:19:13Zoai:repositorioaberto.uab.pt:10400.2/3790Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:45:00.743039Repositório 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
Complex reaction-diffusion
Stability
Finite differences
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.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Serranho, Pedro
dc.subject.por.fl_str_mv Complex reaction-diffusion
Stability
Finite differences
topic Complex reaction-diffusion
Stability
Finite differences
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 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-03-23T09:45:58Z
2015-03-13T17:56:20Z
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/10400.2/3790
url http://hdl.handle.net/10400.2/3790
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for nonlinear complex reaction-diffusion processes. "IMA Journal of Numerical Analysis" [Em linha]. ISSN 0272-4979 (Print) 1464-3642 (Online). (2014), p. 1-23
0272-4979
10.1093/imanum/dru037
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 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
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
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