Numerical Solutions of Nonlinear Fredholm Integral Equations of the Second Kind

• Main Author: Jumah Aswad ZARNAN
• Format: Article
• Language: English
• Published: Stefan cel Mare University of Suceava 2019-04-01
• Series: Journal of Applied Computer Science & Mathematics
• Subjects: Fredholm integral; equations function; approximation; Trapezoidal rule; nonlinear system of algebraic equations
• Online Access: https://jacsm.ro/view/?pid=27_6

In the present paper, a numerical method to solve nonlinear Fredholm integral equations of second kind is proposed and some numerical notes about this method are addressed. This approach reduces this type of integral equation to solve a nonlinear system of algebraic equation. The approximate solution for nonlinear Fredholm integral equations of the second kind is obtained by a numerical technique base on function approximation and numerical integration. Several numerical examples are presented. To illustrate the effectiveness of the proposed method in the present paper, some test examples are carried out. The results obtained by the present methods reveal that the present method is very effective and convenient for nonlinear Fredholm integral equation.