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

页码：141 / 159

页数：19

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