He’s homotopy perturbation method for a general riccati equation
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
The factorization method of the Hamiltonian in Quantum Mechanics involves solving a particular type of Riccati equation. In this paper, He’s homotopy perturbation method is applied to a general Riccati equation. The solutions introduced in this paper are in recursive sequence forms which can be used to obtain the closed form with the property of being exactly solvable. This property generally means that one can solve the eigenvalue problem completely 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
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ağırseven, D. ve Öziş, T. (2009). He’s homotopy perturbation method for a general riccati equation. Maltepe Üniversitesi. s. 139.
