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Title: Integro-differential IBVP versus differential IBVP: stability analysis
Authors: Branco, J. R. 
Ferreira, J. A. 
Keywords: Integro-di erential problem; FitzHugh-Nagumo equation; Numerical methods; Stability
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-40 (2009)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 09-40
Place of publication or event: Coimbra
Abstract: 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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