%0 Journal Article
%T A modified Taylor-series for solving a Fredholm integral equation of the second kind
%J Mathematical Analysis and its Contemporary Applications
%I RGNNA Publishing Group.
%Z 2716-9898
%A Amirfakhrian, Majid
%A Mirzaei, Seyyed Mahmood
%D 2022
%\ 12/01/2022
%V 4
%N 4
%P 39-48
%! A modified Taylor-series for solving a Fredholm integral equation of the second kind
%K Taylor series
%K Fredholm integral equation
%K Linear Equation System
%R 10.30495/maca.2022.1956497.1056
%X 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.
%U https://www.macajournal.com/article_693798_ea525df7c7e48b4b1ae522b986c6cac4.pdf