A robust uniform B-spline collocation method for solving the generalized PHI-four equation

被引：0
|
作者：
Zahra, W. K. [1 ]
Ouf, W. A. [2 ]
El-Azab, M. S. [2 ]
机构：
[1] Tanta Univ, Fac Engn, Dept Phys & Engn Math, Tanta 31521, Egypt
[2] Al Mansoura Univ, Fac Engn, Dept Math, Mansoura, Egypt
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2016年 / 11卷 / 01期
关键词：
PHI-four equation; cubic B-spline; Collocation method; Von-Neumann stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a numerical solution based on cubic B-spline collocation method. By applying Von-Neumann stability analysis, the proposed technique is shown to be unconditionally stable. The accuracy of the presented method is demonstrated by a test problem. The numerical results are found to be in good agreement with the exact solution.
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页码：364 / 376
页数：13
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