浅水长波近似方程组的拟小波解

The quasi-wavelet numerical solutions of approximate equations for long waves in shallow water

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.

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.