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Thermal Science 2010 Volume 14, Issue 4, Pages: 1101-1109
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Numerical analysis of forth-order boundary value problems in fluid mechanics and mathematics

Hosseinzadeh Elham, Barari Amin, Fouladi Fama, Domairry Ganji Davood

In this paper He’s variational iteration method is used to solve some examples of linear and non-linear forth-order boundary value problems. The first problem compared with homotopy analysis method solution and the other ones with the exact solution. The results show the high accuracy and speed of convergence of this method. It is found that the variational iteration method is a powerful method for solving of the non-linear equations.

Keywords: magnetohydrodynamics, variational iteration method, fourth-order differential equations, boundary value problems