Journals / Mathematical and Computational Applications / 2011 / Cilt: 16 - Sayı: 2

The differential transformation method and Pade approximant for a form of blasius equation

Pages
507–513
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods.
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Key Findings & Data: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.
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Conclusion & Impact:Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

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, Cilt: 16 - Sayı: 2, 507–513. https://ajindex.com/articles/280319

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