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Variational Iteration Method and Homotopy-Perturbation Method for Solving Burgers Equation in Fluid Dynamics

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Author(s): R. Noorzad | A. Tahmasebi Poor | M. Omidvar

Journal: Journal of Applied Sciences
ISSN 1812-5654

Volume: 8;
Issue: 2;
Start page: 369;
Date: 2008;
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Keywords: Burgers equation | Homotopy-Perturbation Method (HPM) | Variational Iteration Method (VIM) | fluid dynamics

ABSTRACT
Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) are employed to approximate the solution of the Burgers equation which is a one-dimensional non-linear partial differential equation in fluid dynamics. The explicit solutions obtained were compared with the exact solutions. While the exact solution was not available for viscosity smaller than 0.01, it was shown that mathematical structure of the equation for the obtained explicit solutions did not decay. The results reveal that the HPM and VIM are very effective, convenient and quite accurate to systems of partial differential equations. It is predicted that the HPM and VIM can be found widely applicable in engineering.
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