中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90206-090206.doi: 10.1088/1674-1056/21/9/090206
张荣培a, 张立伟b c
Zhang Rong-Pei (张荣培)a, Zhang Li-Wei (张立伟)b c
摘要: In this study, we use the direct discontinuous Galerkin method to solve the generalized Burgers-Fisher equation. The method is based on the direct weak formulation of the Burgers-Fisher equation. The two adjacent cells are jointed by a numerical flux that includes the convection numerical flux and the diffusion numerical flux. We solve the ordinary differential equations arising in the direct Galerkin method by using the strong stability preserving Runge-Kutta method. Numerical results are compared with the exact solution and the other results to show the accuracy and reliability of the method.
中图分类号: (Finite-element and Galerkin methods)