摘要
采用Lagrange插值细分方法构造了紧支撑双正交小波的尺度函数.以此尺度函数为基函数,考虑区间内外基函数的不同,选择不同的配点,形成了区间上求解微分方程的小波配点法.由于二代小波自身的特性使该方法结构简单,计算复杂度小.对对流占优方程第一边值问题,当扩散系数很小时用本文方法也能得到较精确解,表明了该方法的有效性.
The compactly supported biorthogonal scaling function is constructed by using Lagrange interpolation subdivision.Taking it as the base function,considering the differences between internal and external base functions,the wavelet collocation method for solving ODE on interval has formed by means of selecting different collocation points.As the second generation wavelet owns characters,which make the proposed method with the properties such as simple construction,small computational complexity.When the diffusion coefficient is very small in the first boundary value problem on the convection equation,the method can also obtain more exact solution,and the numerical results show that the proposed method possesses the property of high precision.
出处
《纺织高校基础科学学报》
CAS
2011年第3期317-321,共5页
Basic Sciences Journal of Textile Universities
关键词
二代小波
提升格式
微分方程
配点法
second generation wavelet
lifting scheme
differential equation
collocation method
