Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line

Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line

Year:    2018

Author:    Guo Chai, Tian-jun Wang

Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v51n2.18.04

Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 177–195

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Nonlinear Fokker-Planck equations the whole line generalized Hermite spectral method full-discrete scheme.

Author Details

Guo Chai

Tian-jun Wang