Integro-differential IBVP versus differential IBVP: stability analysis

• Author(s): Branco, J. R. ; Ferreira, J. A.
• Date: 2009
• Persistent ID: http://hdl.handle.net/10316/13639
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Integro-di erential problem; FitzHugh-Nagumo equation; Numerical methods; Stability
• Document Type: Preprint
• Language: English

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.