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

Kuwait Journal of Science

SEYDÄ° BATTAL GAZÄ° KARAKODz  NURÄ°MURAT YAÄžMURLU¹  YUSUF UÇAR¹ 

[1] Department of Mathematics, Faculty of Science and Art, Inönü University, Malatya,44280, TURKEY;Department of Mathematics, Faculty of Science and Art, Nevsehir HaciBektas VeliUniversity, Nevsehir, 50300, TURKEY

关键词: Cubic B-splines;    finite element method;    Galerkin;    MRLW equation;    solitary waves.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this paper, a numerical solution of the modified regularized long wave (MRLW) equationhas been obtained by a numerical technique based on a lumped Galerkin method using cubicB-spline finite elements. Solitary wave motion, interaction of two and three solitary waveshave been studied to validate the proposed method. The three invariants ( 1 2 3 I , I , I ) of themotion have been calculated to determine the conservation properties of the scheme. Errornorms 2 L and ∞ L have been used to measure the differences between the exact and numericalsolutions. Also, a linear stability analysis of the scheme is proposed.

【 授权许可】

Unknown