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.

引用

页码：199 / 211

页数：13

共 23 条

[1] A COLLOCATION SOLUTION FOR BURGERS-EQUATION USING CUBIC B-SPLINE FINITE-ELEMENTS [J].