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Composite Laguerre pseudospectral method for Fokker-Planck equations

    Chuan Wang Affiliation
    ; Tianjun Wang   Affiliation
    ; Youlin Shang Affiliation

Abstract

A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established. As an application, a composite Laguerre pseudospectral scheme is provided for the problems of the relaxation of fermion and boson gases. Convergence and stability of the scheme are proved. Numerical results show the efficiency of this approach and coincide well with theoretical analysis.

Keyword : composite generalized Laguerre pseudospectral method, nonlinear FokkerPlanck equations, the whole line

How to Cite
Wang, C., Wang, T., & Shang, Y. (2023). Composite Laguerre pseudospectral method for Fokker-Planck equations. Mathematical Modelling and Analysis, 28(4), 542–560. https://doi.org/10.3846/mma.2023.17513
Published in Issue
Oct 20, 2023
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