HYBRID NUMERICAL METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATION OF THE FIRST KIND

We propose hybrid numerical methods for solving Volterra integral equations of the first kind by using Leibnitz rule, Adomian decomposition method and variational iteration method. We convert Volterra integral equation of the first kind into Volterra integral equation of the second kind by using Leibnitz rule and then apply Adomian decomposition method and variational iteration method to solve the Volterra integral equation of the second kind. To illustrate the accuracy of the proposed methods, some numerical examples have been performed.