On the numerical study of the KdV equation by the semi-implicit and leap-frog method

DOI10.1016/0010-4655(95)00060-SzbMath0888.65101MaRDI QIDQ1378194

Ping-Wah Li

Publication date: 8 February 1998

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

comparisonstabilityfinite difference methodsKorteweg-de Vries equationsemi-implicit methodleap-frog 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

Mock-integrability and stable solitary vortices ⋮ Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property ⋮ Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation ⋮ Chebyshev finite spectral method with extended moving grids ⋮ Lattice Boltzmann model for the interaction of \((2+1)\)-dimensional solitons in generalized Gross-Pitaevskii equation ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ Generalized finite spectral method for 1D Burgers and KdV equations

Cites Work

• Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Unnamed Item

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