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

作　　者：Tao Sun Tian-jun Wang 

机构地区：[1]School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China [2]School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China

出　　处：《Communications on Applied Mathematics and Computation》2019年第2期231-252,共22页应用数学与计算数学学报（英文）

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.

关 键 词：Composite generalized Laguerre-Legendre PSEUDOSPECTRAL approximation NONLINEAR FOKKER-PLANCK equations defined on UNBOUNDED domains MULTI-DOMAIN DECOMPOSITION PSEUDOSPECTRAL method 

分 类 号：O1[理学—数学]