A rational spectral method for the KdV equation on the half line

DOI10.1016/j.cam.2009.01.025zbMath1176.65117OpenAlexW2029263521MaRDI QIDQ2390007

Zhongqiang Zhang, He-Ping Ma

Publication date: 20 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.01.025

zbMATH Keywords

convergencesemidiscretizationPetrov-Galerkin methodspectral methodnumerical experimentCrank-Nicolson methodhalf lineKorteweg-de Vries (KdV) equationsemi-discrete and fully-discrete method, convergenceleap-frog schemeLegendre rational functions

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Chebyshev rational spectral method for long-short wave equations ⋮ A new multi-domain spectral method for Korteweg-de Vries equation on the whole line ⋮ A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing ⋮ Unnamed Item

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