Integro-differential IBVP versus differential IBVP: stability analysis

Bibliographic Details
Main Author: Branco, J. R.
Publication Date: 2009
Other Authors: Ferreira, J. A.
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/13639
Summary: The aim of this paper is the qualitative analysis from theoretical and numerical points of view of an integro-di erential initial boundary value problem where the reaction term presents a certain memory e ect. Stability results are established in both cases. As in certain cases the integro-di erential initial boundary value problem can be seen as a di erential initial boundary value problem, the results obtained for the integro-di erential formulation are compared with the correspondent results stated for the di erential initial boundary value problem. Numerical results illustrating the theoretical results are also included.
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spelling Integro-differential IBVP versus differential IBVP: stability analysisIntegro-di erential problemFitzHugh-Nagumo equationNumerical methodsStabilityThe aim of this paper is the qualitative analysis from theoretical and numerical points of view of an integro-di erential initial boundary value problem where the reaction term presents a certain memory e ect. Stability results are established in both cases. As in certain cases the integro-di erential initial boundary value problem can be seen as a di erential initial boundary value problem, the results obtained for the integro-di erential formulation are compared with the correspondent results stated for the di erential initial boundary value problem. Numerical results illustrating the theoretical results are also included.Centro de Matemática da Universidade de Coimbra2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/13639https://hdl.handle.net/10316/13639engPré-Publicações DMUC. 09-40 (2009)Branco, J. R.Ferreira, J. A.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-29T10:04:37Zoai:estudogeral.uc.pt:10316/13639Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:24.404248Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Integro-differential IBVP versus differential IBVP: stability analysis
title Integro-differential IBVP versus differential IBVP: stability analysis
spellingShingle Integro-differential IBVP versus differential IBVP: stability analysis
Branco, J. R.
Integro-di erential problem
FitzHugh-Nagumo equation
Numerical methods
Stability
title_short Integro-differential IBVP versus differential IBVP: stability analysis
title_full Integro-differential IBVP versus differential IBVP: stability analysis
title_fullStr Integro-differential IBVP versus differential IBVP: stability analysis
title_full_unstemmed Integro-differential IBVP versus differential IBVP: stability analysis
title_sort Integro-differential IBVP versus differential IBVP: stability analysis
author Branco, J. R.
author_facet Branco, J. R.
Ferreira, J. A.
author_role author
author2 Ferreira, J. A.
author2_role author
dc.contributor.author.fl_str_mv Branco, J. R.
Ferreira, J. A.
dc.subject.por.fl_str_mv Integro-di erential problem
FitzHugh-Nagumo equation
Numerical methods
Stability
topic Integro-di erential problem
FitzHugh-Nagumo equation
Numerical methods
Stability
description The aim of this paper is the qualitative analysis from theoretical and numerical points of view of an integro-di erential initial boundary value problem where the reaction term presents a certain memory e ect. Stability results are established in both cases. As in certain cases the integro-di erential initial boundary value problem can be seen as a di erential initial boundary value problem, the results obtained for the integro-di erential formulation are compared with the correspondent results stated for the di erential initial boundary value problem. Numerical results illustrating the theoretical results are also included.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/13639
https://hdl.handle.net/10316/13639
url https://hdl.handle.net/10316/13639
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 09-40 (2009)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602339518283776

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