Numerical solution of nonlinear Fredholm integral equations of the second kind using artificial bee colony algorithm
Numerical solution of nonlinear Fredholm integral equations of the second kind using artificial bee colony algorithm
mahmood hasani1 babak asdy2
1) Ph.D. student Department of mathematics, College of Basic Science Hamedan Branch Islamic Azad University, Iran
2) Department of mathematics, Science and Research branch, Islamic AzadUniversity, Arak, Iran, Email:
Publication :
The 6th International conference of Sciences and Engineering(6icesconf.com)
Abstract :
In this paper, an effcient method for approximation solution of nonlinear Fredholm integral equation of the second kind based on combine of two methods in two step, In the first step, by converting the integral equation into a least square as an objective function, Then in the second step, we have minimized residual function in the before step by ABC algorithm. Finally by presenting numerical examples result of the mentioned method is satisfactory and acceptable.
Keywords :
nonlinear Fredholm integral equation‎
‎artificial bee colony‎
‎Algebraic equations
least square
Optimization