Application of He's Variational Iteration Method for solving the Equation Governing the Unsteady Flow of a Polytropic Gas

Abstract

In this paper, He's variational iteration method (VIM) is used to obtain the exact solution of the Equation Governing the Unsteady Flow of a Polytropic Gas. This method is based on Lagrange multiplier for identification of optimal value of parameter in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the Adomian polynomials. The results reveal that He's variational iteration method is very effective for these types of equations.