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1 August 2011

The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation

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Department of Mathematics, Faculty of Science Selçuk University, 42003 Konya, Turkey
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Abstract

Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. The aim of this study is to overcome this difficulty by using Padé approximation with the differential transform method (DTM) on a form of classical Blasius equation. The obtained results are compared with, for the first time, the ones obtained by using a modified form of Adomian decomposition method (ADM). Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM).

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