@Article{AAMM-4-422, author = {Ertürk , Vedat SuatOdibat , Zaid M. and Momani , Shaher}, title = {The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {4}, pages = {422--438}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1138}, url = {http://global-sci.org/intro/article_detail/aamm/128.html} }