@Article{EAJAM-6-434,
author = {M. Mbehou, R. Maritz and P.M.D. Tchepmo},
title = {Numerical Analysis for a Nonlocal Parabolic Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {6},
number = {4},
pages = {434--447},
abstract = {<p style="text-align: justify;">This article is devoted to the study of the finite element approximation for a
nonlocal nonlinear parabolic problem. Using a linearised Crank-Nicolson Galerkin finite
element method for a nonlinear reaction-diffusion equation, we establish the convergence and error bound for the fully discrete scheme. Moreover, important results on exponential decay and vanishing of the solutions in finite time are presented. Finally,
some numerical simulations are presented to illustrate our theoretical analysis.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.260516.150816a},
url = {http://global-sci.org/intro/article_detail/eajam/10811.html}
}