@article { author = {Rachid, Anas and Bahaj, Mohamed and Fakhar, Rachid}, title = {Finite volume element approximation for time dependent convection diffusion reaction equations with memory}, journal = {Computational Methods for Differential Equations}, volume = {9}, number = {4}, pages = {977-1000}, year = {2021}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2020.30193.1447}, 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 = {Finite volume method,Crank-Nicolson method,parabolic integrodifferential equation,Full discrete scheme,error estimates}, url = {https://cmde.tabrizu.ac.ir/article_12153.html}, eprint = {https://cmde.tabrizu.ac.ir/article_12153_cad12334ec3c4a02fc8b1423bd901bb7.pdf} }