A second-order Fourier pseudospectral method for the generalized regularized long wave equation

被引：5
作者：
Kang, Xiaorong [1 ]
Cheng, Kelong [1 ]
Guo, Chunxiang [2 ]
机构：
[1] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China
[2] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
GRLW equation; Fourier pseudospectral method; stability; convergence; unstable wave; NUMERICAL-SIMULATION; CONVERGENCE ANALYSIS; MODEL-EQUATIONS; GALERKIN METHOD; SOLITARY WAVES; SCHEME; APPROXIMATION; RLW;
D O I：
10.1186/s13662-015-0676-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a second-order in time linearized semi-implicit Fourier pseudospectral scheme for the generalized regularized long wave equation. Based on the consistency analysis, the nonlinear stability and the convergence of the scheme are discussed, along with the a priori assumption and an aliasing error control estimate. The numerical examples demonstrate the features of the proposed scheme, including the convergence order, conservative properties, and the evolution of the unstable wave.
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页数：22
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