Solutions of non-linear oscillators by the modified differential transform method

Momani S., Ertuerk V. S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.55, no.4, pp.833-842, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1016/j.camwa.2007.05.009
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.833-842
  • Keywords: non-linear oscillators, differential transform method, Laplace transform, pade approximants, approximate analytical solution, HOMOTOPY-PERTURBATION METHOD, ADOMIANS DECOMPOSITION METHOD, INITIAL-VALUE PROBLEMS, EQUATIONS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

A numerical method for solving nonlinear oscillators is proposed. The proposed scheme is based on the differential transform method (DTM), Laplace transform and Pade approximants. The modified differential transform method (MDTM) technique introduces an alternative framework designed to overcome the difficulty of capturing the periodic behavior of the Solution, which is characteristic of oscillator equations, and give a good approximation to the true solution in a very large region. The numerical results demonstrate the validity and applicability of the new technique and a comparison is made with existing results. (c) 2007 Elsevier Ltd. All rights reserved.