A numerical technique based on collocation method for solving modified Kawahara equation  

作　　者：Turgut Ak S.Battal Gazi Karakoc 

机构地区：[1]Department of Transportation Engineering,Yalova University,Yalova,77200 Turkey [2]Department of Mathematics,Faculty of Science and Art,Nevsehir Haci Bektas Veli University,Nevsehir,50300 Turkey

出　　处：《Journal of Ocean Engineering and Science》2018年第1期67-75,共9页海洋工程与科学（英文）

摘　　要：In this article,a numerical solution of the modified Kawahara equation is presented by septic B-spline collocation method.Applying the von-Neumann stability analysis,the present method is shown to be unconditionally stable.L 2 and L∞error norms and conserved quantities are given at selected times.The accuracy of the proposed method is checked by test problems including motion of the single solitary wave,interaction of solitary waves and evolution of solitons.

关 键 词：Modified Kawahara equation Finite element method COLLOCATION Solitary waves B-SPLINE 

分 类 号：O17[理学—数学]