Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

被引：15
|
作者：
Kutluay, Selcuk [1 ]
Ucar, Yusuf [1 ]
Yagmurlu, N. Murat [1 ]
机构：
[1] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 04期
关键词：
Modified Burgers equation; Finite element method; Collocation; B-Spline;
D O I：
10.1007/s40840-015-0262-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to deal with the non-linear term appearing in the equation. The computed results are compared with others selected from the available literature. The error norms and are computed and found to be sufficiently small. A Fourier stability analysis of the method is also investigated.
引用
收藏
页码：1603 / 1614
页数：12
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