Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method

被引：0
|
作者：
Karakoc, Seydi Battal Gazi [1 ]
Ucar, Yusuf [2 ]
Yagmurlu, Nurimurat [2 ]
机构：
[1] Nevsehir HaciBektas Veli Univ, Fac Sci & Art, Dept Math, TR-50300 Nevsehir, Turkey
[2] Inonu Univ, Fac Sci & Art, Dept Math, TR-44280 Malatya, Turkey
来源：
KUWAIT JOURNAL OF SCIENCE | 2015年 / 42卷 / 02期
关键词：
Cubic B-splines; finite element method; Galerkin; MRLW equation; solitary waves; LONG-WAVE EQUATION; SOLITARY WAVES; MODEL;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants (I-1, I-2, I-3) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L-2 and L-infinity have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.
引用
收藏
页码：141 / 159
页数：19
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