摘要
在分析非标准小波表示方法的基础上,计算了Legendre小波积分算子矩阵的非标准小波表示,并且计算了Legendre小波矢量函数积算子,还定义了积分算子,用这些算子求解Lane-Emden方程,得到了较好的数值逼近解.此方法还可以用于求解非线性积分方程,积分、微分方程.
Based on method of nonstandard wavelets operational matrix of integration, representation by wavelet, this paper calculates Legendre computes product operation of Legendre wavelets vector functions and defines a integration operation. Using these operations, the Lane -Emden equation is solved and better results are obtained. This approach can be applied to solving the system of nonlinear integral equations, and integro - differential equations.
出处
《重庆工学院学报（自然科学版）》
2009年第12期145-151,共7页
Journal of Chongqing Institute of Technology
基金
重庆市教委教改项目"对高等数学实验课程体系的研究"
