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On a perturbation treatment of a model for MHD viscous flow
Authors:Francisco M Fernández
Institution:1. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan;2. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;4. School of Natural Sciences, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan;5. Department of Mathematics & State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, China
Abstract:We discuss the solution of a nonlinear ordinary differential equation that appears in a model for MHD viscous flow caused by a shrinking sheet. We propose an accurate numerical solution and derive simple analytical expressions. Our results suggest that a recent perturbation treatment of the same problem exhibits a pathological behaviour and conjecture its probable cause.
Keywords:
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