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

Abstract EN

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 no homogeneous problems) are given in this paper to illustrate the effectiveness and convenience of a new procedure.