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The Variational Iteration Method for Finding Exact Solution of Nonlinear Gas Dynamics Equations

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The Variational Iteration Method for Finding Exact Solution of Nonlinear Gas Dynamics Equations

Hossein Jafaria, Ch. Chunb, and C. M. Khaliquec

aDepartment of Mathematics, University of Mazandaran, Babolsar, Iran

bDepartment of Mathematics, Sungkyunkwan University Suwon, Republic of Korea

cInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa

Reprint requests to H. J.; E-mail: jafari h@math.com

Z. Naturforsch.66a,161 – 164 (2011); received April 6, 2010 / revised September 8, 2010

The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. In this paper, a modified VIM is introduced to accelerate the convergence of VIM and it is applied for finding exact analytical solutions of nonlinear gas dynamics equation.

Key words:Variational Iteration Method; Gas Dynamics Equation; Analytical Solution; Nonlinear Equations.

MSCS numbers:65M99, 35A15, 35K57

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