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

delete2018-03-01
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OA
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T
Turgut Ak *
S
Seydi Battal Gazi Karakoç
DOI:10.1016/j.joes.2017.12.004delete
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摘要

摘要

En 中文
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.
Keyword:
Modified Kawahara equation
Finite element method
Collocation
Solitary waves
B-spline
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期刊

Journal of Ocean Engineering and Science 封面图
Journal of Ocean Engineering and Science
IF:
11.8
论文数:
668
被引数:
2.4K

机构

N
nevsehir haci bektas veli university
学者数:
511
论文数: 618
被引数: 4
Y
Yalova University
学者数:
629
论文数: 658
被引数: 602
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