Document Type : Original Article

Authors

• Majid Amirfakhrian ¹
• Seyyed Mahmood Mirzaei ²

¹ Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

² Department of Mathematics, Gonbad Kavoos Branch, Islamic Azad University, Gonbad Kavoos, Iran

Abstract

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.

Keywords

• Taylor Series
• Fredholm Integral Equation
• Linear Equation System