A modified Taylor-series for solving a Fredholm integral equation of the second kind

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.

کلیدواژه ها:

Taylor series ، Fredholm integral equation ، Linear Equation System