Development treatment of initial boundary value problems for one dimensional heat-like and wave-like equations using homotopy perturbation method

Abstract EN

In this paper, a new technique is applied to develop the treatment of initial boundary value problems for one dimensional heat-like and wave-like partial differential equations [3] (ordinary or fractional) by mixed initial and boundary conditions together to obtain a new initial solution at every iteration using homotopy perturbation method (HPM).

The structure of a new successive initial solutions can give a more accurate solution in a first step.