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Advisor(s)
Abstract(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.
Description
Keywords
Nonlinear parabolic system Nonlocal diffusion term Reactiondiffusion Convergence Numerical simulation Crank-Nicolson Finite element method