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Numerical analysis of forth-order boundary value problems in fluid mechanics and mathematics

Hosseinzadeh Elham (Division of Thermal Energy, Technical University of Denmark, Lyngby, Denmark)
Barari Amin (Department of Civil Engineering, Aalborg University, Aalborg, Denmark)
Fouladi Fama (Department of Mechanical Engineering, Babol University of Technology, Babol, Iran)
Domairry Ganji Davood (Department of Mechanical Engineering, Babol University of Technology, Babol, Iran)

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