n阶Fredholm积分-微分方程的有理Haar小波解法

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。

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

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.