Finite volume element approximation for time dependent convection diffusion reaction equations with memory

Document Type : Research Paper

Authors

1 Laboratoire LMA,ENS de Casablanca, Hassan II university of Casablanca, B.P 50069, Ghandi Casablanca, Morocco.

2 ENSAM de Casablanca, Hassan II University of Casablanca, Casablanca, Morocco.

3 Faculty of Sciences and Technology, University Hassan 1st, Settat, Morocco

4 Laboratoire LS3M, Universit Hassan 1st, 25000 Khouribga, Morocco.

Abstract

Error estimates for element schemes for time-dependent for convection-diffusion-reaction equations with memory are derived and stated. For the spatially discrete scheme, optimal order error estimates in L2 , H1 , and W1,p norms for 2 ≤ p < ∞, are obtained. In this paper, we also study the lumped mass modification. Based on the Crank-Nicolson method, a time discretization scheme is discussed and related error estimates are derived.

Keywords