Majid Amirfakhrian - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Seyyed Mahmood Mirzaei - Department of Mathematics, Gonbad Kavoos Branch, Islamic Azad University, Gonbad Kavoos, Iran

In this paper, we propose a Taylor series expansion method for the second kind of Fredholm integral equation with smooth kernels. This method converts the integral equation into a linear equation system to reduce the amount of computation. We present convergence conditions. Finally, we show the efficiency of the method using some numerical examples.

Taylor series, Fredholm integral equation, Linear Equation System