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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

Pade Embedded Piecewise Differential Transform Method for the Solution of ODE's

by
Y. Çenesiz
*,
A.B. Koç
,
B. Çitil
and
A. Kurnaz
Kurnaz Science Faculty, Department of Mathematics, Selçuk University, Konya 42003, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(2), 199-207; https://doi.org/10.3390/mca15020199
Published: 1 August 2010
Versions Notes

Abstract

In this paper Pade Embedded Differential Transformation is proposed for the solution of higher order nonlinear or linear Ordinary Differential Equations (ODE’s). The proposed approach provides a better iterative procedure to find the spectrum of the analytic solutions compared to the classical differential transformation. Illustrative examples are presented to show the preciseness and effectiveness of the proposed method.
Keywords: Differential Transform Method; Pade Approximants Differential Transform Method; Pade Approximants

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MDPI and ACS Style

Çenesiz, Y.; Koç, A.B.; Çitil, B.; Kurnaz, A. Pade Embedded Piecewise Differential Transform Method for the Solution of ODE's. Math. Comput. Appl. 2010, 15, 199-207. https://doi.org/10.3390/mca15020199

AMA Style

Çenesiz Y, Koç AB, Çitil B, Kurnaz A. Pade Embedded Piecewise Differential Transform Method for the Solution of ODE's. Mathematical and Computational Applications. 2010; 15(2):199-207. https://doi.org/10.3390/mca15020199

Chicago/Turabian Style

Çenesiz, Y., A.B. Koç, B. Çitil, and A. Kurnaz. 2010. "Pade Embedded Piecewise Differential Transform Method for the Solution of ODE's" Mathematical and Computational Applications 15, no. 2: 199-207. https://doi.org/10.3390/mca15020199

APA Style

Çenesiz, Y., Koç, A. B., Çitil, B., & Kurnaz, A. (2010). Pade Embedded Piecewise Differential Transform Method for the Solution of ODE's. Mathematical and Computational Applications, 15(2), 199-207. https://doi.org/10.3390/mca15020199

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