Homotopy Perturbation and Elzaki Transform for Solving Nonlinear Partial Differential Equations

Abstract

In this work, we present a reliable combination of homotopy perturbation method and Elzaki transform to investigate some nonlinear partial differential equations. The nonlinear terms can be handled by the use of homotopy perturbation method. The proposed homotopy perturbation method is applied to the reformulated first and second order initial value problem which leads the solution in terms of transformed variables, and the series solution is obtained by making use of the inverse transformation. The results show the efficiency of this method.

Keywords: Homotopy perturbation methods, Elzaki transform nonlinear partial differential equations.