fokker-planck方程的复合laguerre伪谱方法

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2023-10-20 DOI:10.3846/mma.2023.17513

Chuan Wang, Tianjun Wang, Youlin Shang

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引用次数: 0

摘要

提出了求解全线非线性Fokker-Planck方程的复合广义Laguerre伪谱方法。建立了几种复合广义拉盖尔插值近似结果。作为应用，给出了费米子和玻色子气体弛豫问题的复合拉盖尔伪谱格式。证明了该方案的收敛性和稳定性。数值结果表明了该方法的有效性，与理论分析吻合较好。

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COMPOSITE LAGUERRE PSEUDOSPECTRAL METHOD FOR FOKKER-PLANCK EQUATIONS

A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established. As an application, a composite Laguerre pseudospectral scheme is provided for the problems of the relaxation of fermion and boson gases. Convergence and stability of the scheme are proved. Numerical results show the efficiency of this approach and coincide well with theoretical analysis.

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来源期刊

Mathematical Modelling and Analysis 数学-数学

CiteScore

2.80

自引率

5.60%

发文量

审稿时长

4.5 months

期刊介绍： Mathematical Modelling and Analysis publishes original research on all areas of mathematical modelling and analysis.