Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet. (English) Zbl 1221.76144

Ghotbi, Abdoul R.

Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2653-2663 (2009).

Summary: The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. Homotopy analysis method (HAM) is applied in order to obtain analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs with the exact solution and an approximate method. The compression shows that the HAM is very capable, easy-to-use and applicable technique for solving differential equations with strong nonlinearity. Moreover, choosing a suitable value of none–zero auxiliary parameter as well as considering enough iteration would even lead us to the exact solution so HAM can be widely used in engineering too.

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
76W05	Magnetohydrodynamics and electrohydrodynamics

Keywords:

boundary layer flow; HAM; none; zero auxiliary parameter; enough iteration

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