Almeida, Rui M.P.Duque, José C. M.Ferreira, JorgeRobalo, Rui2020-02-062020-02-062018-05http://hdl.handle.net/10400.6/9087The aim of this paper is to study the convergence, properties and error bounds of the discrete solutions of a class of nonlinear systems of reaction–diffusion nonlocal type with moving boundaries, using the finite element method with polynomial approximations of any degree and some classical time integrators. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with a moving finite element method are investigated.engNonlinear parabolic systemNonlocal diffusion termReaction–diffusionConvergenceNumerical simulationEulerCrank–NicolsonFinite element methodjournal article10.1016/j.apnum.2018.01.007