Perturbation-iteration method for first-order differential equations and systems

Şenol M., Timuçin Dolapçi I., AKSOY Y., Pakdemirli M.

Abstract and Applied Analysis, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/704137
  • Dergi Adı: Abstract and Applied Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The previously developed new perturbation-iteration algorithm has been applied to differential equation systems for the first time. The iteration algorithm for systems is developed first. The algorithm is tested for a single equation, coupled two equations, and coupled three equations. Solutions are compared with those of variational iteration method and numerical solutions, and a good agreement is found. The method can be applied to differential equation systems with success. © 2013 Mehmet Şenol et al.