Variational Homotopy perturbation Method for Solving Volterra Integral Equations of the Second Kind

In this paper, variational homotopy perturbation method (VHPM) is used to give the approximate solution of Volterra and Fredholm integral equations of the second kind. The method constructs a convergent sequence of functions, which approximates the exact solution with few iterations. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity

Keywords:

Variational iteration method , Homotopy perturbation method , Variational homotopy perturbation method , Volterra and Fredholm integral equations