HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION

Küçük Resim Yok

Tarih

2009

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

Künye