ELZAKI TRANSFORM HOMOTOPY PERTURBATION METHOD FOR SOLVING GAS DYNAMICS EQUATION

Prem Kiran G. Bhadane , V. H. Pradhan

Abstract: In this paper, the ELzaki transform homotopy perturbation method (ETHPM) has been successfully applied to obtain the approximate analytical solution of the nonlinear homogeneous and non-homogeneous gas dynamics equations. The proposed method is an elegant combination of the new integral transform “ELzaki Transform” and the homotopy perturbation method. The method is really capable of reducing the size of the computational work besides being effective and convenient for solving nonlinear equations. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. A clear advantage of this technique over the decomposition method is that no calculation of Adomian’s polynomials is needed.

Keywords: ELzaki transform, Homotopy perturbation method, non linear partial differential equation, and nonlinear gas dynamics equation

DOI: https://doi.org/10.15623/ijret.2013.0212045