Stability of finite difference schemes for nonlinear complex reaction-diffusion processes
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
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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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 |
repository.mail.fl_str_mv |
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1799135021453279233 |