n阶Fredholm积分-微分方程的有理Haar小波解法  

Rationalized Haar Wavelets Method for Solving nth-order Fredholm Integro-differential Equations

作　　者：张建平[1] 

机构地区：[1]榆林学院,榆林719000

出　　处：《价值工程》2012年第23期268-269,共2页Value Engineering

基　　金：榆林学院高层次人才基金项目(11GK65)

摘　　要：一阶积分-微分方程是我们求解积分微分方程时常见的一类方程,其求解方法比较简单;而在实际问题中我们常常会遇到高阶积分-微分方程的求解,求其数值解相对比较困难。作者利用有理Haar小波的积分法和积分算子矩阵对一般的n阶Fredholm积分-微分方程进行了求解。最后给出的数值算例表明了该方法的有效性。First order integro-differential equations are a class of equations we solve the integral differential equations, the solution is relatively simple; while in the practical problems we often meet the high order Integro-differential equations, solving the numerical solution is relatively difficult. The authors use the rationalized Haar wavelet integral and integral operator matrix to solve the th-order of Fredholm integral-differential equations. Finally, numerical example show the effectiveness of the method.

关 键 词：积分-微分方程 有理Haar小波 算子矩阵 

分 类 号：G642[文化科学—高等教育学]