LDG method for reaction–diffusion dynamical systems with time delay

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摘要

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.

论文关键词:Local discontinuous Galerkin method,Reaction–diffusion dynamical systems with time delay,Stability,Convergence,Biologic models

论文评审过程:Available online 30 April 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.153