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 & Shaher Momani

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

Published online: 1970-01

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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

Non-linear oscillatory systems differential transform method numerical solution

  • AMS Subject Headings

74H15 35E15 37M05

  • Copyright

COPYRIGHT: © Global Science Press

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