Approximate solutions for the nonlinear third-order ordinary differential equations

KARAHAN M. M. F.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, cilt.72, sa.6, ss.547-557, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1515/zna-2016-0502
  • Dergi Adı: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.547-557
  • Anahtar Kelimeler: Approximate Analytical Solutions, Multiple Scales Lindstedt-Poincare (MSLP) Method, Nonlinear Third-Order Ordinary Differential Equations, Perturbation Methods, Strongly Nonlinear Systems
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A new perturbation method, multiple scales Lindstedt-Poincare (MSLP) is applied to jerk equations with cubic nonlinearities. Three different jerk equations are investigated. Approximate analytical solutions and periods are obtained using MSLP method. Both approximate analytical solutions and periods are contrasted with numerical and exact results. For the case of strong nonlinearities, obtained results are in good agreement with numerical and exact ones.