DOUBLE EXPONENTIAL SINC COLLOCATION METHOD FOR URYSOHN INTEGRAL EQUATION

In this paper, the numerical solution of Urysohn integral equations is considered by Double Exponential (DE) Sinc method. This numerical method combines a modified Sinc collocation method with the Newton iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. So far approximate solutions with polynomial convergence have been reported for this equation. This method improves conventional results and achieve exponential convergence