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

被引：30

作者：

Ak, Turgut ^{[1
]}

Karakoc, S. Battal Gazi ^{[2
]}

机构：

[1] Yalova Univ, Dept Transportat Engn, TR-77200 Yalova, Turkey

[2] Nevsehir Haci Bektas Veli Univ, Fac Sci & Art, Dept Math, TR-50300 Nevsehir, Turkey

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2018年 / 3卷 / 01期

关键词：

Modified Kawahara equation; Finite element method; Collocation; Solitary waves; B-spline; SHALLOW-WATER WAVES; GEAR-GRIMSHAW MODEL; DE-VRIES EQUATION; KDV EQUATION; 1-SOLITON SOLUTION; BOUSSINESQ; SIMULATION; LAW;

D O I：

10.1016/j.joes.2017.12.004

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

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-infinity 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. (C) 2018 Shanghai Jiaotong University. Published by Elsevier B.V.

引用

页码：67 / 75

页数：9

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