A singular perturbation of the heat equation with memory

• Author(s): Branco, J. R. ; Ferreira, J. A.
• Date: 2006
• Persistent ID: http://hdl.handle.net/10316/11338
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Viscoelasticity problem; Heat equation with memory; Stability; Numerical method
• Document Type: Preprint
• Language: English

Description

In this paper we consider a hyperbolic equation, with a memory term in time, which can be seen as a singular perturbation of the heat equation with memory. The qualitative properties of the solutions of the initial boundary value problems associated with both equations are studied. We propose numerical methods for the hyperbolic and parabolic models and their stability properties are analysed. Finally, we include numerical experiments illustrating the performance of those methods. Centre for Mathematics of University of Coimbra