Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method

In this paper, we apply Newton-Product method to obtain the numerical solutions of singular nonlinear Volterra integro-differential equations of second kind. We applied Newton’s method to linearize it and then we found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with some examples.