A nonlinear viscoelasticity problem with memory in time

  • Authors:

  • J. R. Branco;J. A. Ferreira

  • Affiliations:

  • Departamento de Física e Matemática, Instituto Superior de Engenharia de Coimbra, Coimbra, Portugal;Department of Mathematics, University of Coimbra, Coimbra, Portugal

  • Venue:
  • SMO'06 Proceedings of the 6th WSEAS International Conference on Simulation, Modelling and Optimization
  • Year:
  • 2006

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Abstract

In this paper we consider a nonlinear hyperbolic equation with a memory term which can be used in mathematical models for viscoleasticity problems. The qualitative properties of the solution of the initial boundary value problem are studied. We propose numerical methods for the computation of approximations to the solution of the continuous problem and their stability properties are analysed. Finally, we include numerical experiments illustrating the performance of the proposed methods.