Multi-Domain Decomposition Pseudospectral Method for Nonlinear Fokker–Planck Equations
Multi-Domain Decomposition Pseudospectral Method for Nonlinear Fokker–Planck Equations
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DOI：
10.1007/s42967-019-00013-0
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发表时间：
2019-04
影响因子：
1.6
通讯作者：
T. Sun;Tian-jun Wang
中科院分区：
文献类型：
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作者：
T. Sun;Tian-jun Wang
建立了无界区域上复合广义Laguerre-Legendre插值的一些结果。作为应用，本文给出了一个求解非线性Fokker-Planck方程的复合Laguerre-Legendre拟谱格式。证明了该格式的收敛性和稳定性。数值结果表明了该格式的有效性，并与理论分析相吻合。
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.