Adaptive multi-step differential transformation method to solving nonlinear differential equations


Gokdogan A., Merdan M., YILDIRIM A.

MATHEMATICAL AND COMPUTER MODELLING, cilt.55, ss.761-769, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.09.001
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.761-769

Özet

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.