HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The factorization method of the Hamiltonian in quantum mechanics is used to solve a particular type of Riccati equation. In this paper, He's homotopy perturbation method is applied to a general Riccati equation. The obtained solutions are in recursive sequence forms and, in many cases, these solutions lead to an exact solution. This property generally means that one can solve completely the eigenvalue problem for the Hamiltonian operator. The method is tested on various examples which are revealing the effectiveness and the simplicity of the method.
Açıklama
Anahtar Kelimeler
Homotopy perturbation method, Riccati equation, nonlinear equations
Kaynak
International Journal of Modern Physics B
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
23
Sayı
30