Title of article :
Finite volume element approximation for time dependent convection diffusion reaction equations with memory
Author/Authors :
Rachid, Anas Laboratoire LMA - ENS de Casablanca - Hassan II university of Casablanca - B.P 50069 - Ghandi Casablanca - Morocco , Bahaj, Mohamed Faculty of Sciences and Technology - University Hassan 1st - Settat - Morocco , Fakhar, Rachid Laboratoire LS3M - Universit Hassan 1st - 25000 Khouribga - Morocco
Abstract :
Error estimates for element schemes for time-dependent for convection-diffusionreaction 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 < 1; are obtained. In this paper, we also study the lumped mass modication. Based on the Crank-Nicolson method, a time discretization scheme is discussed and related
error estimates are derived.
Keywords :
Finite volume method , Crank-Nicolson method , Parabolic integrodifferential equation , Full discrete scheme , Error estimates
Journal title :
Computational Methods for Differential Equations
