A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

被引：24
作者：
Yagmurlu, Nuri Murat [1 ]
Karakas, Ali Sercan [1 ]
机构：
[1] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2022年 / 10卷 / 04期
关键词：
Finite element method; Collocation method; Solitary waves; Modified equal width equation; Trigonometric B-splines; PETROV-GALERKIN METHOD; NUMERICAL-SOLUTION; SOLITARY WAVES; WIDTH;
D O I：
10.22034/cmde.2021.47358.1981
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present study, the Modified Equal Width (MEW) wave equation is going to be solved numerically by presenting a new technique based on the collocation finite element method in which trigonometric cubic B-splines are used as approximate functions. In order to support the present study, three test problems; namely, the motion of a single solitary wave, the interaction of two solitary waves, and the birth of solitons are studied. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the numerical conserved laws as well as the error norms L2 and Loo.
引用
收藏
页码：1046 / 1058
页数：13
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