An improvement to the homotopy perturbation method for solving integro differential equations

In this paper, a new form of the homotopy perturbation method (nhpm) has been adoptedfor solving integro-differential equations. in the present study, firstly the nhpm is used tothe integro-differential equation, which yields the maclaurin series of the exact solution.by applying the laplace transformation to the truncated maclaurin series and then thepad´e approximation to the solution derived from the laplace transformation, we obtainmostly the exact solution of this kind of equations. illustrative examples are given torepresent the efficiency and the accuracy of the proposed method.