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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

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

by
Haldun Alpaslan Peker
*,
Onur Karaoğlu
and
Galip Oturanç
Department of Mathematics, Faculty of Science Selçuk University, 42003 Konya, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(2), 507-513; https://doi.org/10.3390/mca16020507
Published: 1 August 2011
Versions Notes

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).
Keywords: Blasius equation; Padé Approximants; Differential Transformation Method (DTM); Boundary Layers Blasius equation; Padé Approximants; Differential Transformation Method (DTM); Boundary Layers

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MDPI and ACS Style

Peker, H.A.; Karaoğlu, O.; Oturanç, G. The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation. Math. Comput. Appl. 2011, 16, 507-513. https://doi.org/10.3390/mca16020507

AMA Style

Peker HA, Karaoğlu O, Oturanç G. The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation. Mathematical and Computational Applications. 2011; 16(2):507-513. https://doi.org/10.3390/mca16020507

Chicago/Turabian Style

Peker, Haldun Alpaslan, Onur Karaoğlu, and Galip Oturanç. 2011. "The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation" Mathematical and Computational Applications 16, no. 2: 507-513. https://doi.org/10.3390/mca16020507

APA Style

Peker, H. A., Karaoğlu, O., & Oturanç, G. (2011). The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation. Mathematical and Computational Applications, 16(2), 507-513. https://doi.org/10.3390/mca16020507

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