Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation

Jagdev Singh, Devendra Kumar
2012 Journal of Applied Mathematics, Statistics and Informatics  
Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation 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
more » ... hout 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.
doi:10.2478/v10294-012-0006-2 fatcat:5eopoapvzfa2blqqb67rmrgdla