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LDG method for reaction-diffusion dynamical systems with time delay |
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| Authors: | Dongfang Li Chengjian Zhang Hongyu Qin |
| Institution: | School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China |
| 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. |
| Keywords: | Local discontinuous Galerkin method Reaction-diffusion dynamical systems with time delay Stability Convergence Biologic models |
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