Yazarlar

• Merdan, Mehmet(2)
• Gökdogan, Ahmet(1)
• Yildirim, Ahmet(1)

• MakaleAçık Erişim2013Scopus SJRQ1/r/gumushane/15797
  Numerical solution of the fractional-order Vallis systems using multi-step differential transformation method

  Merdan, Mehmet

  In this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical solutions of a fractional order Vallis systems. Numerical simulations are submitted to verify the validity and reliability results obtained from these methods.

  AtıfScopus10·WoS10·OpenAlex9

  İncele
• MakaleAçık Erişim2012/r/gumushane/10273
  Adaptive multi-step differential transformation method to solving nonlinear differential equations

  Gökdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet

  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.

  AtıfScopus47·WoS30·OpenAlex48

  İncele