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The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

Published online by Cambridge University Press:  03 June 2015

Vedat Suat Ertürk ,
Zaid M. Odibat  and
Shaher Momani
Vedat Suat Ertürk*
Affiliation:
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey
Zaid M. Odibat*
Affiliation:
Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa Applied University, Al-Salt 19117, Jordan
Shaher Momani*
Affiliation:
The University of Jordan, Faculty of Science, Department of Mathermatics, Amman 1194, Jordan
*
Corresponding author. URL:http://www2.omu.edu.tr/akademikper.asp?id=156, Email: [email protected]
Email: [email protected]
Email: [email protected]
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Abstract

In this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators were obtained by MSDTM. Figurative comparisons between the MSDTM and the classical fourth-order Runge-Kutta method (RK4) reveal that the proposed technique is a promising tool to solve non-linear oscillators.

Keywords

74H1535E1537M05Non-linear oscillatory systemsdifferential transform methodnumerical solution
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 4 , August 2012 , pp. 422 - 438
Copyright
Copyright © Global-Science Press 2012

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