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

被引：0
|
作者：
Tao Sun
Tian-jun Wang
机构：
[1] Shanghai Lixin University of Accounting and Finance,School of Statistics and Mathematics
[2] Henan University of Science and Technology,School of Mathematics and Statistics
来源：
Communications on Applied Mathematics and Computation | 2019年 / 1卷
关键词：
Composite generalized Laguerre–Legendre pseudospectral approximation; Nonlinear Fokker–Planck equations defined on unbounded domains; Multi-domain decomposition pseudospectral method; 65M70; 41A30; 35K55;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：231 / 252
页数：21
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