Numerical solution of the nonlinear Klein-Gordon equation

被引：52
|
作者：
Rashidinia, J. [1 ]
Ghasemi, M. [1 ]
Jalilian, R. [2 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 16844, Iran
[2] Ilam Univ, Dept Math, Ilam, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 08期
关键词：
Nonlinear Klein-Gordon equation; Cubic B-spline method; Collocation; Convergence analysis; RADIAL BASIS FUNCTIONS; DECOMPOSITION METHOD; COLLOCATION METHOD; BURGERS-EQUATION; B-SPLINES; APPROXIMATIONS;
D O I：
10.1016/j.cam.2009.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical method is developed to solve the nonlinear one-dimensional Klein-Gordon equation by using the cubic B-spline collocation method on the uniform mesh points. We solve the problem for both Dirichlet and Neumann boundary conditions. The convergence and stability of the method are proved. The method is applied on some test examples, and the numerical results have been compared with the exact solutions. The L-2, L-infinity and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1866 / 1878
页数：13
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