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

doi:10.1007/s42967-019-00013-0

Abstract

Abstract: 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 efciency of the scheme and conform well to theoretical analysis.

Key words: Composite generalized Laguerre-Legendre pseudospectral approximation, Nonlinear Fokker-Planck equations defned on unbounded domains, Multi-domain decomposition pseudospectral method

CLC Number:

Tao Sun, Tian-jun Wang. Multi-Domain Decomposition Pseudospectral Method for Nonlinear Fokker-Planck Equations[J]. Communications on Applied Mathematics and Computation, 2019, 1(2): 231-252.

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