He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients
Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.372, sa.21, ss.3829-3835, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 372 Sayı: 21
- Basım Tarihi: 2008
- Doi Numarası: 10.1016/j.physleta.2008.02.073
- Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3829-3835
- Anahtar Kelimeler: Adomian decomposition method, Power series method, Prey and the predator problem, System of nonlinear differential equations, Variational iteration method
- Uşak Üniversitesi Adresli: Hayır
Özet
In this Letter, a mathematical model of the problem of prey and predator is presented and He's variational iteration method is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The results are compared with the results obtained by Adomian decomposition method and homotopy perturbation method. Comparison of the methods show that He's variational iteration method is a powerful method for obtaining approximate solutions to nonlinear equations and their systems. © 2008 Elsevier B.V. All rights reserved.