Equivalent HPM with ADM and Convergence of the HPM to a Class of Nonlinear Integral Equations

The purpose of this study is to implement homotopy per- turbation method, for solving nonlinear volterra integral equations. in this work, a reliable approach for convergence of the hpm when ap- plied to a class of nonlinear volterra integral equations is discussed. convergence analysis is reliable enough to estimate the maximum ab- solute truncated error of the series solution. the results obtained by using hpm, are compared to those obtained by using adomian decom- position method alone. the numerical results, demonstrate that hpm technique, gives the approximate solution with faster convergence rate and higher accuracy than using the standard adm.