The numerical method of the dynamic stability differential equations based on quasi wavelet
Sheliang Wang, Qianying Ma, Jun-Qiang Zhu, Cheng-Zhong Zhang · 2008
The research of dynamic stability involve some subjects, and it is a new research developed recent decades. It is very complex of its instability mechanization because of it is a nonlinear differential equation, so it has not achieve a common view. Wavelets analysis can solve many difficult problems that Fourier analysis can not solve, which has become a new bench developing rapidly in mathematical field. It is an innovation of the tools and methods for research recently, and becomes the focus of many subjects. The numerical method based on quasi wavelets is a new numerical method that has not only the high accuracy of global methods but also the flexibility of local methods. So it is very good for the numerical solution of nonlinear partial equations. The numerical method based on quasi wavelets is a new means of study the numerical solution of the dynamic stability differential equations.