Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet |
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| Authors: | Abdoul R Ghotbi |
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| Institution: | 1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, I-40136 Bologna, Italy;2. Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway;1. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran;2. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa |
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| Abstract: | 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. |
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