B-spline Galerkin methods for numerical solutions of the Burgers' equation

被引：36
|
作者：
Dag, I
Saka, B [1 ]
Boz, A
机构：
[1] Osmangazi Univ, Dept Math, TR-26480 Eskisehir, Turkey
[2] Osmangazi Univ, Dept Comp Engn, TR-26480 Eskisehir, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 166卷 / 03期
关键词：
Burgers' equation; Galerkin finite element; quadratic B-spline; cubic B-spline;
D O I：
10.1016/j.amc.2004.06.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first order splitting method is applied to the Burgers' equation and two numerical algorithms are set up for this time-splitted Burgers' equation using both quadratic and cubic B-spline Galerkin finite element techniques. The unknowns in the equation is resolved with the B-splines in space and standart Crank-Nicolson differencing schemes is used to advance solution in time. Results of three numerical test problems are used to compare each schemes with available some results. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：506 / 522
页数：17
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