A collocation method for generalized nonlinear Klein-Gordon equation

被引：11
|
作者：
Guo, Ben-Yu [1 ,2 ,3 ]
Wang, Zhong-Qing [1 ,2 ,3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
[3] E Inst Shanghai Univ, Div Computat Sci, Shanghai 200234, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2014年 / 40卷 / 02期
关键词：
Space-time collocation method; Generalized nonlinear Klein-Gordon equation; SPECTRAL METHOD; LAGUERRE; JACOBI;
D O I：
10.1007/s10444-013-9312-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a collocation method for an initial-boundary value problem of the generalized nonlinear Klein-Gordon equation. It possesses the spectral accuracy in both space and time directions. The numerical results indicate the high accuracy and the stability of long-time calculation of suggested algorithm, even for moderate mode in spatial approximation and big time step sizes. The main idea and techniques developed in this work provide an efficient framework for the collocation method of various nonlinear problems.
引用
收藏
页码：377 / 398
页数：22
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