Integro-differential IBVP versus differential IBVP: stability analysis

• Autor(es): Branco, J. R. ; Ferreira, J. A.
• Data: 2009
• Identificador Persistente: http://hdl.handle.net/10316/13639
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Integro-di erential problem; FitzHugh-Nagumo equation; Numerical methods; Stability
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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.