| 浅水长波近似方程组的拟小波解 |
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| 引用本文： | 黄正洪,夏莉,何希平.浅水长波近似方程组的拟小波解[J].纯粹数学与应用数学,2006,22(3):414-419,423. |
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| 作者姓名： | 黄正洪 夏莉 何希平 |
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| 作者单位： | 重庆工商大学计算机科学学院,重庆,400067;重庆工商大学理学院,重庆,400067 |
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| 摘 要： | 以浅水长波近似方程组为例,提出了拟小波方法求解(1 1)维非线性偏微分方程组数值解,该方程用拟小波离散格式离散空间导数,得到关于时间的常微分方程组,用四阶Runge-K utta方法离散时间导数,并将其拟小波解与解析解进行比较和验证.
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| 关 键 词： | 浅水长波近似方程组 拟小波方法 数值解 |
| 文章编号： | 1008-5513（2006）03-0414-06 |
| 收稿时间： | 2004-12-29 |
| 修稿时间： | 2004年12月29日 |
The quasi-wavelet numerical solutions of approximate equations for long waves in shallow water |
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| HUANG Zheng-hong,XIA Li,HE Xi-ping.The quasi-wavelet numerical solutions of approximate equations for long waves in shallow water[J].Pure and Applied Mathematics,2006,22(3):414-419,423. |
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| Authors: | HUANG Zheng-hong XIA Li HE Xi-ping |
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| Abstract: | Taking the approximate equations for long waves in shallow water as example.Fox obtaining numerical solution of the(1 1) dimension nonlinear partial differential equation,the quasi-wavelet discrete scheme is proposed.In the method,the quasi-wavelet discrete scheme is adopted to make the spatial derivatives discrete,the ordinary differential equation about time is obtained.The fourth order Rung-Katta method is adopted to make the temporal derivative discrete.The quasi-wavelet solution compared with the analytical solution,and the computation results is validated. |
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| Keywords: | approximate equations for long waves in shallow water quasi-wavelet discrete scheme numerical solution |
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