A spline collocation approach for the numerical solution of a generalized nonlinear Klein-Gordon equation

被引：36
|
作者：
Khuri, S. A. [1 ]
Sayfy, A. [1 ]
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 04期
关键词：
Klein-Gordon equation; B-spline; Collocation method; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1016/j.amc.2010.01.122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a finite element collocation approach using cubic B-splines is employed for the numerical solution of a generalized form of the nonlinear Klein-Gordon equation. The efficiency of the method is tested on a number of examples that represent special cases of the extended equation including the sine-Gordon equation. The numerical results are compared with existing numerical and analytic solutions and the outcomes confirm that the scheme yields accurate and reliable results even when few nodes are used at the time levels. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：1047 / 1056
页数：10
相关论文
共 50 条
12345