LDG method for reaction-diffusion dynamical systems with time delay

被引：56

作者：

Li, Dongfang ^{[1
]}

Zhang, Chengjian ^{[1
]}

Qin, Hongyu ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期

关键词：

Local discontinuous Galerkin method; Reaction-diffusion dynamical systems with time delay; Stability; Convergence; Biologic models; DISCONTINUOUS GALERKIN METHOD; RUNGE-KUTTA METHODS; FINITE-DIFFERENCE METHOD; ONE-LEG METHODS; D-CONVERGENCE; EQUATIONS; STABILITY; HEMATOPOIESIS; CONVECTION; MODEL;

D O I：

10.1016/j.amc.2011.03.153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：9173 / 9181

页数：9

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