摘要
研究了小波-伽辽金方法在Burgers方程中的应用,首先对时间变量离散,将含有2个变量x,t的二阶初边值问题转化为相应于边界条件的常微分方程;然后引入Daubechies尺度函数的自相关函数构造基函数,用小波-伽辽金法离散该常微分方程,得到线性方程组;最后求解该线性方程组便得到Burgers方程的解.数值结果表明,本文方法有良好的计算精度,方法简单有效.
The wavelet-Galerkin method was studied in the application of nonlinear Burgers Equation. The time domain was discreted, and the second order boundary vaule problem with two variables was translated into ordinary differential equation of corresponding boundary conditions. Base functions were structured by introducing the auto-correlation function of Daubechies scale function, and linear equations were obtained by using wavelet-Galerkin method for discreting the ordinary differential equation. The numerical results show that this method is simple and effective with good computational accuracy.
出处
《内蒙古科技大学学报》
CAS
2007年第4期381-384,共4页
Journal of Inner Mongolia University of Science and Technology
