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A numerical technique based on collocation method for solving modified Kawahara equation
DOI:10.1016/j.joes.2017.12.004.png)
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
IF:
11.8
论文数:
668
被引数:
2.4K
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引用论文
Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients具有时变系数的广义KdV和BBM方程的孤子解

