The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation

DOI10.1016/0021-9991(86)90007-0zbMath0589.65077OpenAlexW2011355268MaRDI QIDQ1074324

He-Ping Ma, Ben-yu Guo

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90007-0

zbMATH Keywords

stabilityconvergenceKorteweg-de Vries equationFourier pseudospectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (15)

Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation ⋮ Three level Fourier spectral approximations for fluid flow with low Mach number ⋮ The Chebyshev spectral method with a restraint operator for Burgers equation ⋮ Differential quadrature method to examine the dynamical behavior of soliton solutions to the Korteweg-de Vries equation ⋮ Numerical method for generalized time fractional KdV‐type equation ⋮ Error estimates of a space-time Legendre spectral method for solving the Korteweg-de Vries equation ⋮ The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials ⋮ Error analysis for spectral approximation of the Korteweg-de Vries equation ⋮ Unnamed Item ⋮ The Fourier pseudospectral method for three-dimensional vorticity equations ⋮ Optimal error estimates for Fourier spectral approximation of the generalized KdV equation ⋮ On the KdV soliton formation and discrete spectral analysis ⋮ A spectral-difference method for two-dimensional viscous flow ⋮ The Fourier pseudospectral method with a restrain operator for the RLW equation ⋮ The Fourier pseudo-spectral method for the SRLW equation

Cites Work

• Fourier expansion solution of the Korteweg-de Vries equation
• Legendre and Chebyshev spectral approximations of Burgers' equation
• Convergence of Fourier methods for Navier-Stokes equations
• A pseudospectral scheme for the numerical calculation of schocks
• The application of the spectral method to nonlinear wave propagation
• The Korteweg-de Vries-Burgers equation
• A Hopscotch method for the Korteweg-de-Vries equation
• A pseudo-spectral FFT technique for non-periodic problems
• A Spectral Method for Solving the RLW Equation
• Stability of the Fourier Method
• Spectral Methods for a Nonlinear Initial Value Problem Involving Pseudo Differential Operators
• Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations
• A numerical and theoretical study of certain nonlinear wave phenomena
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows

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