This paper presents a numerical method for solving nonlinear Fredholm and Volterra integral equations using Laguerre polynomials. In these integral equations, we convert nonlinear Fredholm and Volterra integral equations to a nonlinear algebraic system of equations using the Laguerre polynomial approximation and an auxiliary function w(x). We find an approximation for the auxiliary function w(x) from the Newton method, which will be used to obtain the approximate solution of the integral equation. By providing a few examples and comparing the exact solution and the results of other methods, we will check the accuracy and efficiency of this method.
