Approximation of the RLW equation by the least square cubic B-spline finite element method

被引：100
|
作者：
Dag, I [1 ]
Özer, MN [1 ]
机构：
[1] Univ Osmangazi, Fac Arts & Sci, Dept Math, TR-26480 Eskisehir, Turkey
来源：
APPLIED MATHEMATICAL MODELLING | 2001年 / 25卷 / 03期
关键词：
regularized long wave (RLW) equation; least square finite element method; cubic B-spline;
D O I：
10.1016/S0307-904X(00)00030-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The regularized long wave (RLW) equation is solved numerically by giving a new algorithm based on a kind of space-time least square finite element method, in which a combination of cubic B-splines is used as an approximate function. A single soliton solution with different amplitudes is simulated and L-2, L-chi error norms and conserved quantities are given at selected times. Comparisons are made with both the analytical solution and some recent results. (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：221 / 231
页数：11
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