A numerical solution of the Burgers' equation using cubic B-splines

被引：117
作者：
Dag, I
Irk, D [1 ]
Saka, B
机构：
[1] Osmangazi Univ, Math Dept, TR-26480 Eskisehir, Turkey
[2] Osmangazi Univ, Comp Engn Dept, TR-26480 Eskisehir, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 01期
关键词：
D O I：
10.1016/j.amc.2004.01.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper numerical Solutions of the one-dimensional Burgers' equation are obtained by a method based on collocation of cubic B-splines over finite elements. The accuracy of the proposed method is demonstrated by three test problems. The numerical results are found in good agreement with exact solutions. Time-space integration of the Burgers' equation yields a system of difference equation which is shown to be unconditionally stable. (C) 2004 Elsevier Inc. All rights reserved.
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页码：199 / 211
页数：13
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