Numerical solution of the nonlinear Volterra integro-differential equations by the Tau method

In this paper we use the Operational approach to the Tau method for solving nonlinear Volterra integro-differential equation (VIDEs) with analytic function coefficients with initial or boundary conditions. We do this without linearizing nonlinear terms. We introduce an error estimation of the method. We give some examples to clarify the efficiency and high accuracy of the method.