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Orientador(es)
Resumo(s)
The 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.
Descrição
Palavras-chave
Nonlinear parabolic system Nonlocal diffusion term Reactiondiffusion Convergence Numerical simulation Crank-Nicolson Finite element method