Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line
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@Article{JMS-51-177,
author = {Chai , Guo and Wang , Tian-jun},
title = {Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line},
journal = {Journal of Mathematical Study},
year = {2018},
volume = {51},
number = {2},
pages = {177--195},
abstract = {
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v51n2.18.04}, url = {http://global-sci.org/intro/article_detail/jms/12462.html} }
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 -
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.
Guo Chai & Tian-jun Wang. (2020). Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line.
Journal of Mathematical Study. 51 (2).
177-195.
doi:10.4208/jms.v51n2.18.04
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