An efficient multiscale Runge-Kutta Galerkin method for generalized Burgers-Huxley equation
An efficient multiscale Runge-Kutta Galerkin method for generalized Burgers-Huxley equation
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DOI：
10.12988/ams.2017.7141
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Jian Chen
中科院分区：
文献类型：
--
作者：
Jian Chen
In this paper, an efficient multiscale Runge-Kutta Galerkin method (MRKGM) efficient numerical solution for the generalized Burgers-Huxley equation is presented. Firstly, the spacial variable is discretized by multiscale Galerkin method with the multiscale orthonormal bases in H1 0 (0, 1). This method yields Burgers-Huxley equation to a system of ordinary differential equations. Secondly, the strong stability preserving third-order Runge-Kutta method is employed to solve the system of ordinary differential equations. The numerical results obtained in this way are compared with the exact solution to demonstrate the high accuracy of the method even in the case of a small number of bases. Mathematics Subject Classification: 65J15; 65M60
