Document Type : Research Paper
Laboratoire LMA,ENS de Casablanca, Hassan II university of Casablanca, B.P 50069, Ghandi Casablanca, Morocco.
ENSAM de Casablanca, Hassan II University of Casablanca, Casablanca, Morocco.
Faculty of Sciences and Technology, University Hassan 1st, Settat, Morocco
Laboratoire LS3M, Universit Hassan 1st, 25000 Khouribga, Morocco.
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.