Conservative Fourier spectral method for a class of modified Zakharov system with high-order space fractional quantum correction

被引：0
|
作者：
Guo, Tao [1 ,2 ]
Xiao, Aiguo [1 ,2 ]
Wang, Junjie [3 ]
Li, Xueyang [1 ,2 ]
机构：
[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
[2] Xiangtan Univ, Key Lab Intelligent Comp & Informat Proc, Educ Minist, Xiangtan 411105, Hunan, Peoples R China
[3] Puer Univ, Sch Math & Stat, Puer 665000, Yunnan, Peoples R China
来源：
ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期
关键词：
Modified Zakharov system; Fractional quantum correction; Fourier spectral method; Stability; Convergence; Conservativeness; DIFFERENCE SCHEME; NUMERICAL-METHODS; EQUATIONS; EFFICIENT; PLASMAS;
D O I：
10.1186/s13662-023-03790-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Fourier spectral method and numerical investigation for a class of modified Zakharov system with high-order space fractional quantum correction. First, the numerical scheme of the system is developed with periodic boundary condition based on the Crank-Nicolson/leap-frog methods in time and the Fourier spectral method in space. Moreover, it is shown that the scheme preserves simultaneously mass and energy conservation laws. Second, we analyze stability and convergence of the numerical scheme. Last, the numerical experiments are given, and the results show the correctness of theoretical results and the efficiency of the conservative scheme.
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页数：28
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