TY - JOUR
T1 - Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line
AU - Chai , Guo
AU - Wang , Tian-jun
JO - Journal of Mathematical Study
VL - 2
SP - 177
EP - 195
PY - 2018
DA - 2018/06
SN - 51
DO - http://doi.org/10.4208/jms.v51n2.18.04
UR - https://global-sci.org/intro/article_detail/jms/12462.html
KW - Nonlinear Fokker-Planck equations, the whole line, generalized Hermite spectral method, full-discrete scheme.
AB - <p style="text-align: justify;">In this paper, we develop a spectral method for the nonlinear Fokker-Planck
equations modeling the relaxation of fermion and boson gases. A full-discrete generalized
Hermite spectral scheme is constructed. Its convergence and stability are proved
strictly. Numerical results show the efficiency of this approach and coincide well with
theoretical analysis.</p>