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

Authors

  • Guo Chai Henan University of Science and Technology, Luoyang 471003, P. R. China
  • Tian-jun Wang Henan University of Science and Technology, Luoyang 471003, P. R. China

DOI:

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

Keywords:

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

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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Published

2018-08-16

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Issue

Vol. 51 No. 2 (2018)

Section

Articles

How to Cite

Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line. (2018). Journal of Mathematical Study, 51(2), 177-195. https://doi.org/10.4208/jms.v51n2.18.04