应用插值小波解第二类Fredholm积分方程

Solve Fredholm Integral Equation of the Second Kind Using Interpolating Wavelet

引入了一种解第二类Fredholm积分方程的新的数值算法,该数值方法利用插值小波变换将积分方程转化成线性方程组并求解,经过变换后得到的线性方程组的矩阵是一个稀疏的带状矩阵.数值算例表明,与传统算法比较该方法计算量小,并且具有较高的精度.

This paper presents a new method for solving Fredholrn integral equation of the second kind. This numerical method converts the integral equation to a system of linear equations by using 1 nterpolat - ing wavelet transform, and the matrix we get is a sparse matrix. From the numerical examples we show that the proposed method has high accuracy and is more efficient compared with traditional methods.