The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
Year: 2012
Author: Vedat Suat Ertürk, Zaid M. Odibat, Shaher Momani
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 4 : pp. 422–438
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1138
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 4 : pp. 422–438
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Non-linear oscillatory systems differential transform method numerical solution.