The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results

DOI10.1016/j.amc.2007.01.107zbMath1132.65076OpenAlexW2054633576MaRDI QIDQ2383825

Mauricio Sepúlveda, Juan Carlos Ceballos, Octavio P. Vera Villagrán

Publication date: 19 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.01.107

zbMATH Keywords

stabilitynumerical resultsSobolev spaceregularizationfinite differencesevolution equationsKorteweg-de Vries-Kawahara equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Uses Software

• ATFM

Cites Work

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• Finite amplitude side-band stability of a viscous film
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• An initial-boundary-value problem that approximates the quarter-plane problem for the Korteweg-de Vries equation

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