Conservative difference schemes for the numerical solution of the Gardner equation

DOI10.1007/s40314-014-0183-2zbMath1339.65134OpenAlexW2047280480MaRDI QIDQ291368

Takahiro Noi, Hirota Nishiyama

Publication date: 7 June 2016

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

Full work available at URL: https://doi.org/10.1007/s40314-014-0183-2

zbMATH Keywords

numerical exampleKorteweg-de Vries equationnumerical simulationGardner equationconservative difference schemesdiscrete variational method

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)

Related Items

A quartic trigonometric tension B‐spline finite element method for solving Gardner equation, Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-Spline collocation method, A difference method with intrinsic parallelism for the variable-coefficient compound KdV-Burgers equation, The analysis of operator splitting for the Gardner equation, Exponential B-spline collocation solutions to the Gardner equation

Cites Work

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• Generation of large-amplitude solitons in the extended Korteweg–de Vries equation