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Journal of Applied Sciences
  Year: 2008 | Volume: 8 | Issue: 5 | Page No.: 848-853
DOI: 10.3923/jas.2008.848.853
 
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Application of Homotopy Analysis Method and Variational Iteration Method for Shock Wave Equation

I. Khatami, N. Tolou, J. Mahmoudi and M. Rezvani

Abstract:
The present study is motivated by the desire to investigate the analytical solutions of fully developed shock wave equation by the implementation two new methods, called Homotopy Analysis Method (HAM) and Variational Iteration Method (VIM). The HAM eliminated the classical perturbation method problem, because of the existence a small parameter in the equation. VIM is on of the most effective and convenient ones for both linear and nonlinear equations. The obtained results from the proposed approximate solutions have been compared and verified with those of Adomian`s Decomposition Method (ADM) and the Runge-Kutta`s algorithm (RK). It shows that the numerical results of these methods are the same; while HAM can be much easier, more convenient and more efficient to approach such problems in comparison to VIM and other Traditional methods.
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How to cite this article:

I. Khatami, N. Tolou, J. Mahmoudi and M. Rezvani, 2008. Application of Homotopy Analysis Method and Variational Iteration Method for Shock Wave Equation. Journal of Applied Sciences, 8: 848-853.

DOI: 10.3923/jas.2008.848.853

URL: https://scialert.net/abstract/?doi=jas.2008.848.853

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