Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations

被引：0
|
作者：
Liu, Zeting
Lu, Shujuan [1 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期
关键词：
Long-short wave equations; Hermite pseudospectral method; modified Hermite spectral method; convergence; stability; PARTIAL-DIFFERENTIAL-EQUATIONS; UNBOUNDED-DOMAINS; PSEUDOSPECTRAL APPROXIMATIONS; GALERKIN METHOD; LAGUERRE;
D O I：
10.22436/jnsa.010.04.18
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial boundary value problem of the long-short wave equations on the whole line. Firstly, a fully discrete Hermite pseudospectral scheme and modified Hermite spectral scheme are structured basing Hermite functions, respectively. Secondly, we analyze the two kinds of schemes theoretically. The modified Hermite spectral scheme shows the superiority in priori estimates, numerical stability and convergence. Thirdly, numerical experiments for the two schemes are presented to confirm our theoretical analysis. (C) 2017 All rights reserved.
引用
收藏
页码：1487 / 1511
页数：25
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