APPLICATION OF LAPLACE TRANSFORM HOMOTOPY PERTURBATION METHOD TO GAS DYNAMIC EQUATION: A MODIFIED APPROACH

Prem Kiran G. Bhadane, V. H. Pradhan

Abstract: The Laplace transform homotopy perturbation method (LTHPM) is previously used to solve gas dynamic equation. However, in the present paper a modified approach of Laplace transform homotopy perturbation method is used to obtain the solution of gas dynamic equation. The present modification detects the solution with less numerical computational work as compared to the earlier approach. Also, in this modification no restrictive assumptions are considered and therefore reduces the numerical computations to a greater extent. The obtained solutions are compared with the available exact solutions and LTHPM solution. It shows that the modified approach of LTHPM has a good agreement with the exact solution and LTHPM.

Keywords: Laplace Transform, Gas Dynamic Equation and Laplace Transform with Homotopy Perturbation Method.

DOI: https://doi.org/10.15623/ijret.2016.0505078