用拟小波方法数值求解Burgers方程

万德成; 韦国伟

用拟小波方法数值求解Burgers方程

万德成¹,
韦国伟²

1.
上海大学上海市应用数学和力学研究所, 上海 200072;
2.
新加坡国立大学科学计算系, 新加坡 119260

详细信息

作者简介:
万德成(1967- ),男,福建福清人,副教授,博士.

中图分类号: O351.2
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- 被引次数: 0
出版历程
- 收稿日期: 1999-09-06
- 刊出日期: 2000-10-15

The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations

WAN De-cheng¹,
WEI Guo-wei²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2.
Department of Computational Science, National University of Singapore, Singapore 119260

摘要

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.
- 拟小波 /
- Runge-Kutta方法 /
- Burgers方程
Abstract: 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.
- quasi-wavelets /
- Runge-Kutta method /
- Burgers’ equations

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参考文献(15)

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