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.