基于拟Shannon小波浅水长波近似方程组的数值解(英文)  

NUMERICAL SOLUTION BASED ON QUASI-SHANNON WAVELET FOR APPROXIMATE EQUATIONS OF LONG WAVES IN SHALLOW WATER

作　　者：夏莉[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《数学杂志》2007年第3期255-260,共6页Journal of Mathematics

基　　金：Supported by Natural Science Foundation of Chongqing(KJ060709) .

摘　　要：本文研究了浅水长波近似方程组初边值问题的数值解.利用小波多尺度分析和区间拟Shannon小波,对浅水长波近似方程组空间导数实施空间离散,用时间步长自适应精细积分法对其变换所的非线性常微分方程组进行求解,得到了浅水长波近似方程组的数值解,并将此方法计算的结果与其解析解进行比较和验证.The numerical solution of studied for initial-boundary value problem. approximate equations of long waves in shallow water is The interval quasi-Shannon wavelet and multi-scale analysis of wavelet are used. The quasi-wavelet based on numerical method use to discrete the spatial derivative to approximate equations of long waves in shallow water. The solutions of ordinary differential equations by transform are obtained by an adaptive precise integration method of time step. By computation, the numerical solution of approximate equations of long waves in shallow water are obtained. The computation results are compared with the analytical solution.

关 键 词：浅水长波近似方程组 区间小波 精细积分法 

分 类 号：O242.21[理学—计算数学]