| 用拟小波方法数值求解Burgers方程 |
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| 引用本文： | 万德成,韦国伟.用拟小波方法数值求解Burgers方程[J].应用数学和力学,2000,21(10):991-1001. |
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| 作者姓名： | 万德成 韦国伟 |
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| 作者单位： | 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 |
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| 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共相应解析解的比较中得到证实。
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| 关 键 词： | 拟小波 RUNGE－KUTTA方法 BURGERS方程 数值求解 多尺度分析 |
The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers' Equations |
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| WAN De-cheng,WEI Guo-wei.The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers' Equations[J].Applied Mathematics and Mechanics,2000,21(10):991-1001. |
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| Authors: | WAN De-cheng WEI Guo-wei |
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| 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. |
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| Keywords: | quasi_wavelets Runge_Kutta method Burgers' equations |
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