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.
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.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2006年第3期414-419,423,共7页
Pure and Applied Mathematics
基金
重庆市教委自然科学基金项目
关键词
浅水长波近似方程组
拟小波方法
数值解
approximate equations for long waves in shallow water, quasi-wavelet discrete scheme, numerical solution