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.

引用

页码：364 / 376

页数：13

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