LDG method for reaction–diffusion dynamical systems with time delay

LDG method for reaction–diffusion dynamical systems with time delay

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Article ID: iaor20115683
Volume: 217
Issue: 22
Start Page Number: 9173
End Page Number: 9181
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: programming: nonlinear
Abstract:

In this paper we introduce a local discontinuous Galerkin method to solve nonlinear reaction–diffusion dynamical systems with time delay. Stability and convergence of the schemes are obtained. Finally, numerical examples on two biologic models are shown to demonstrate the accuracy and stability of the method.

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