On the finite element method for a nonlocal degenerate parabolic problem

The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a linearized CrankNicolsonGalerkin finite element method with polynomial approximations of degree k1. Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.