TY - JOUR
T1 - The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
AU - Ertürk , Vedat Suat
AU - Odibat , Zaid M.
AU - Momani , Shaher
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 422
EP - 438
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m1138
UR - https://global-sci.org/intro/article_detail/aamm/128.html
KW - Non-linear oscillatory systems, differential transform method, numerical solution.
AB - <p style="text-align: justify;">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.</p>