Some Numerical Techniques for Solve Nonlinear Fredholm-Volterra Integral Equation

In this paper, the existence and uniqueness of the solution of nonlinear Fredholm – Volterra integral equation is consider(NF-VIE) with continuous kernel , then we use a numerical method to reduce this type of equations to a system of Fredholm integral equation . Trapeziodal rule, Simpson rule, and Romberg integral method are used to solve the Fredholm integral equation of the second kind with continuous kernel. The error in each case is calculated.