A space-time spectral method for solving the nonlinear Klein-Gordon equation

被引：2
|
作者：
Wu, Hua [1 ]
Gao, Qiyi [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2023年 / 190卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear Klein-Gordon equation; Space-time spectral; NUMERICAL-SOLUTION; COLLOCATION METHOD; VISCOSITY METHOD; APPROXIMATIONS; SINGLE; POLAR;
D O I：
10.1016/j.apnum.2023.04.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A space-time spectral method for the nonlinear Klein-Gordon equation is proposed. We use the Legendre-Galerkin method in space and Legendre-Petrov-Galerkin method in time. The nonlinear term in the equation is dealt with the Chebyshev spectral collocation method. The scheme results in a simple algebraic system by choosing appropriate basis functions. The stability and the optimal error estimates in L2-norm for the single and multiple interval methods are given. Numerical experiments are shown confirming the theoretical results. (c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：110 / 137
页数：28
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