Application of pert urbation-iteration method to Lotka-Volterra equations

AKSOY Y., Göktaş Ü., Pakdemirli M., Dolapçi I. T.

Alexandria Engineering Journal, cilt.55, sa.2, ss.1661-1666, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.aej.2016.02.015
  • Dergi Adı: Alexandria Engineering Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1661-1666
  • Anahtar Kelimeler: Lotka-Volterra equations, Perturbation method, Perturbation-iteration method, Symbolic computation, Systems of first order differential equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Perturbation-iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka-Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method.