A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation

被引：25
|
作者：
Bulbul, Berna [1 ]
Sezer, Mehmet [2 ]
机构：
[1] Mugla Univ, Fac Sci, Dept Math, TR-48000 Mugla, Turkey
[2] Celal Bayar Univ, Fac Sci, Dept Math, TR-45000 Manisa, Turkey
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
关键词：
SOLITON PERTURBATION-THEORY; PERIODIC-SOLUTIONS; DIFFERENCE;
D O I：
10.1155/2013/869749
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.
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页数：7
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