Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices
[ X ]
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper introduces that the nonlinear Poisson-Boltzmann equation for semiconductor devices describing potential distribution in a double-gate metal oxide semiconductor field effect transistor (DG-MOSFET) is exactly solvable. The DG-MOSFET shows one of the most advanced device structures in semiconductor technology and is a primary focus of modeling efforts in the semiconductor industry. Lie symmetry properties of this model is investigated in order to extract some exact solutions. The reproducing kernel Hilbert space method and group preserving scheme also have been applied to the nonlinear equation. Numerical results show that the present methods are very effective.
Açıklama
Anahtar Kelimeler
Group preserving scheme, Poisson-Boltzmann equation, Reproducing kernel method, Lie symmetry analysis
Kaynak
Nonlinear Dynamics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
88
Sayı
4
