Multi-Domain Decomposition Pseudospectral Method for Nonlinear Fokker-Planck Equations

摘要

Results on the composite generalized Laguerre-Legendre interpolation in unbounded domains are established.As an application,a composite Laguerre-Legendre pseudospectral scheme is presented for nonlinear Fokker-Planck equations on the whole line.The convergence and the stability of the proposed scheme are proved.Numerical results show the efficiency of the scheme and conform well to theoretical analysis.