Volume 4, Issue 4
The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

Vedat Suat Ertürk ,  Zaid M. Odibat and Shaher Momani

10.4208/aamm.10-m1138

Adv. Appl. Math. Mech., 4 (2012), pp. 422-438.

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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.

  • History

Published online: 2012-04

  • AMS Subject Headings

74H15, 35E15, 37M05

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