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

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

Vedat Suat Erturk, Zaid M. Odibat and Shaher Momani
Advances in applied mathematics and mechanics, Vol.4(4), pp.422-438
01/08/2012

Abstract

Mathematics Mathematics, Applied Mechanics Physical Sciences Science & Technology Technology
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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