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

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

Author Details

Vedat Suat Ertürk

Zaid M. Odibat

Shaher Momani

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