A new perturbation technique in solution of nonlinear differential equations by using variable transformation

Elmas N., Boyaci H.

Applied Mathematics and Computation, cilt.227, ss.422-427, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 227
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2013.11.035
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.422-427
  • Anahtar Kelimeler: Perturbation methods, New variable transformation, Duffing equation, Lindstedt Poincare method, Multiple scales method, Numerical solutions
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A perturbation algorithm using a new variable transformation is introduced. This transformation enables control of the independent variable of the problem. The problems are solved with new transformation: Classical Duffing equation with cubic nonlinear term and a singular perturbation problem. Results of multiple scales, Lindstedt Poincare method, new method and numerical solutions are contrasted.© 2013 Elsevier Inc.