Adaptive multi-step differential transformation method to solving nonlinear differential equations
Articles > Article ยท 2011
Authors: Ahmet Gokdogan, Mehmet Merdan, Ahmet YILDIRIM
Mathematical and Computer Modelling, Journal Indexed in SCI Expanded, International, WoS, 2011, vol 55, pp 761-769
DOI: 10.1016/j.mcm.2011.09.001
Summary
In this paper, we propose a fast and effective adaptive algorithm for the multi-step differential transformation method (MsDTM). This approach named as the adaptive MsDTM is applied to a number of nonlinear differential equations and numerical results are given. At the same time, a comparison between the MsDTM and the adaptive MsDTM reveals that the proposed approach is an efficiency tool for solving the considered equations using fewer time steps. (C) 2011 Elsevier Ltd. All rights reserved.