@Article{JMS-51-177, author = {Chai , Guo and Wang , Tian-jun}, title = {Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line}, journal = {Journal of Mathematical Study}, year = {2018}, volume = {51}, number = {2}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v51n2.18.04}, url = {http://global-sci.org/intro/article_detail/jms/12462.html} }