EQUIVALENT HPM WITH ADM AND IMPLEMENT CONVERGENCE OF THE HOMOTOPY PERTURBATION METHOD APPLIED TO A CLASS OF NONLINEAR INTEGRAL EQUATIONS

The purpose of this study is to implement homotopy perturbation method, for solving nonlinear Volterra integral equations. In this work, a reliable approach for convergence of the homotopy perturbation method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution.