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

被引：3

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.

引用

页码：110 / 137

页数：28

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