The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
DOI:
https://doi.org/10.4208/aamm.10-m1138Keywords:
Non-linear oscillatory systems, differential transform method, numerical solution.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.