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Advisor(s)
Abstract(s)
The 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.
Description
Keywords
Nonlinear parabolic system Nonlocal diffusion term Reaction–diffusion Convergence Numerical simulation Euler Crank–Nicolson Finite element method
Pedagogical Context
Citation
Publisher
Elsevier B.V.