摘要
引进了一种拟小波方法数值求解Burgers方程· 空间导数用拟小波数值格式离散 ,时间导数用四阶Runge_Kutta方法离散· 计算的雷诺数变化从 10到无穷大· 拟小波数值方法能很好描述函数的局部快速变化特性· 这一点通过对Burgers方程的数值求解以及与其相应解析解的比较中得到证实·
A quasi_wavelet based numerical method was introduced for solving the evolution of the solutions of nonlinear partial differential Burgers' equations. The quasi wavelet based numerical method was used to discrete the spatial deriatives, while the fourth_order Runge_Kutta method was adopted to deal with the temporal discretization. The calculations were conducted at a variety of Reynolds numbers ranging from 10 to unlimited large. The comparisons of present results with analytical solutions show that the quasi wavelet based numerical method has distinctive local property, and is efficient and robust for numerically solving Burgers' equations.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第10期991-1001,共11页
Applied Mathematics and Mechanics
