摘要
多尺度方程的求解是子波与多分辨分析的基础,本文提出了用M-带子波神经网络求解多尺度差分方程(Multiscale Difference Equation, MSDE)的新方法.该方法与以前方法相比,具有很多优点并且求解方程的范围更为广泛.
In this paper, a new method for solving multiscale difference equation by the M-band wavelet neural networks is proposed. It is shown that the methods in the paper have many advantages over existed methods and enlarge the range of the solvable equations by the theoretical proofs and computer simulations.
基金
国家教委跨世纪人才基金
FYTEF基金
关键词
子波神经网络
多尺度差分方程
MSDE
Wavelet neural networks, Multiscale difference equation, M-band orthogonal wavelet basis
