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

Momani S., Ertuerk V. S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.55, sa.4, ss.833-842, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.camwa.2007.05.009
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.833-842
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.