A new efficient method for solving delay differential equations and a comparison with other methods

Bildik N., Deniz S.

European Physical Journal Plus, cilt.132, sa.1, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 132 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1140/epjp/i2017-11344-9
  • Dergi Adı: European Physical Journal Plus
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, a new analytical technique, namely the optimal perturbation iteration method, is presented and applied to delay differential equations to find an efficient algorithm for their approximate solutions. Effectiveness of this method is tested by various examples of linear and nonlinear problems of delay differential equations. Obtained results reveal that optimal perturbation iteration algorithm is very effective, easy to use and simple to perform.