TY - JOUR
ID - 693798
TI - A modified Taylor-series for solving a Fredholm integral equation of the second kind
JO - Mathematical Analysis and its Contemporary Applications
JA - MACA
LA - en
SN -
AU - Amirfakhrian, Majid
AU - Mirzaei, Seyyed Mahmood
AD - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
AD - Department of Mathematics, Gonbad Kavoos Branch, Islamic Azad University, Gonbad Kavoos, Iran
Y1 - 2022
PY - 2022
VL - 4
IS - 4
SP - 39
EP - 48
KW - Taylor series
KW - Fredholm integral equation
KW - Linear Equation System
DO - 10.30495/maca.2022.1956497.1056
N2 - 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.
UR - https://www.macajournal.com/article_693798.html
L1 - https://www.macajournal.com/article_693798_ea525df7c7e48b4b1ae522b986c6cac4.pdf
ER -