A Multistage Variational Iteration Method for Solution of Delay Differential Equations

GÖKDOĞAN A., MERDAN M., Ertürk V. S.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.14, sa.3-4, ss.159-166, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3-4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1515/ijnsns-2011-0180
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.159-166
  • Anahtar Kelimeler: delay differential equations, variational iteration method, numerical solution, dde23 solver, ASYMPTOTIC STABILITY, SYSTEM
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage variational iteration method (MSVIM). Examples are carried out and numerical results with comparison to exact solutions, VIM and MATLAB dde23 solver are given. The comparison reveals that the MSVIM is a promising tool to solve delay differential equations.