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

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

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

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/704137
  • Journal Name: Abstract and Applied Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.