Composite Laguerre pseudospectral method for Fokker-Planck equations

Autor: Chuan Wang, Tianjun Wang, Youlin Shang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 28, Iss 4 (2023)
Druh dokumentu: article
ISSN: 1392-6292
1648-3510
DOI: 10.3846/mma.2023.17513
Popis: 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.
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