Almeida, Rui M.P.Duque, José C. M.Ferreira, JorgeRobalo, Rui J.2020-03-032020-03-032014-01-31http://hdl.handle.net/10400.6/9670The aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using a linearized Crank-Nicolson-Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite elements methods are investigated.engNonlinear parabolic systemNonlocal diffusion termReactiondiffusionConvergenceNumerical simulationCrank-NicolsonFinite element methodpreprint