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A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line

Applied Numerical Mathematics, ISSN: 0168-9274, Vol: 174, Page: 17-33
2022
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Article Description

In this paper, a pseudospectral method is proposed for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases. A full-discrete generalized Hermite pseudospectral scheme is constructed. Its convergence, stability and uniqueness are proved strictly. Numerical results show the efficiency of this approach and agree well with the theoretical analysis.

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