A new procedure of initial boundary value problems using homotopy perturbation method

Abstract

In this paper, , a new procedure is applied to treatment of initial boundary value problems by mixed initial and boundary conditions together  to obtain a new initial solution at every iteration using homotopy perturbation method. The structure of a new successive initial solutions can give a more accurate solution. Some examples (linear and nonlinear, homogeneous and nonhomogeneous problems) are given in this paper to illustrate the effectiveness and convenience of a new procedure.