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

Authors

  • Mashaallah Matinfar
  • Saba JafarNodeh

DOI:

https://doi.org/10.30495/jme.v0i0.48

Keywords:

He's Variational Iteration Method, 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.

Author Biographies

Mashaallah Matinfar

Department of Mathematics and Computer Science University of Mazandaran Babolsar, Iran.

Saba JafarNodeh

Department of Mathematics Islamic Azad University Ghaemshahr Branch Ghaemshahr, Iran.

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Published

2009-03-02

Issue

Vol 3 (2008-2009)

Section

Vol. 3, No. 2 (2009)

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