The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

Ertürk V. S., Odibat Z. M., Momani S.

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, cilt.4, sa.4, ss.422-438, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4208/aamm.10-m1138
  • Dergi Adı: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.422-438
  • Anahtar Kelimeler: Non-linear oscillatory systems, differential transform method, numerical solution, BOUNDARY-VALUE-PROBLEMS, EQUATIONS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, a reliable algorithm based on an adaptation of the standard differential transform method is presented, which is the multi-step differential transform method (MSDTM). The solutions of non-linear oscillators were obtained by MSDTM. Figurative comparisons between the MSDTM and the classical fourth-order Runge-Kutta method (RK4) reveal that the proposed technique is a promising tool to solve non-linear oscillators.