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.

Keywords:

Taylor series , Fredholm integral equation , Linear Equation System

Authors

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

Certificate
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https://civilica.com/doc/1742922

شناسه ملی سند علمی:

JR_MACA-4-4_004

تاریخ نمایه سازی: 6 شهریور 1402

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Amirfakhrian, Majid and Mirzaei, Seyyed Mahmood,1401,A modified Taylor-series for solving a Fredholm integral equation of the second kind,https://civilica.com/doc/1742922

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Islamic Azad University of Central Tehran

Type of center: Azad University

Paper count: 24,359

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