<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we apply a combined form of the Laplace transform method with the homotopy perturbation method to obtain the solution of nonlinear gas dynamics equation. This method is called the homotopy perturbation transform method (HPTM). This technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this scheme solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method. The results reveal that the homotopy perturbation transform method (HPTM) is very efficient, simple and can be applied to other nonlinear problems.</p></abstract>

In this paper, we apply a combined form of the Laplace transform method with the homotopy perturbation method to obtain the solution of nonlinear gas dynamics equation. This method is called the homotopy perturbation transform method (HPTM). This technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this scheme solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method. The results reveal that the homotopy perturbation transform method (HPTM) is very efficient, simple and can be applied to other nonlinear problems.

Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation

Department of Mathematics, Jagan Nath University Village-Rampura, Tehsil-Chaksu Jaipur-303901, Rajasthan, India

Department of Mathematics, JaganNath Gupta Institute of Engineering and Technology Jaipur-302022, Rajasthan, India

Department of Physics, Jagan Nath University Village-Rampura, Tehsil-Chaksu Jaipur-303901, Rajasthan, India

Journal of Applied Mathematics, Statistics and Informatics

In this paper, we apply a combined form of the Laplace transform method with the homotopy perturbation method to obtain the solution of nonlinear gas dynamics...

Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation

Published Online: Aug 13, 2012

Page range: 55 - 61

DOI: https://doi.org/10.2478/v10294-012-0006-2

Keywords
Laplace transform method, Homotopy perturbation method, Gas dynamics equation, He's Polynomials

This content is open access.

Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation

Published Online: Aug 13, 2012

Page range: 55 - 61

DOI: https://doi.org/10.2478/v10294-012-0006-2

KeywordsLaplace transform method, Homotopy perturbation method, Gas dynamics equation, He's Polynomials

This content is open access.

Keywords
Laplace transform method, Homotopy perturbation method, Gas dynamics equation, He's Polynomials