The Chebyshev spectral method with a restraint operator for Burgers equation

DOI10.1007/BF02663770zbMath0815.65117OpenAlexW2044794978MaRDI QIDQ1343416

He-Ping Ma, Ben-yu Guo

Publication date: 30 June 1995

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02663770

zbMATH Keywords

stabilityconvergenceBurgers equationerror boundsChebyshev spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (1)

Convergence analysis of three-level Fourier pseudospectral method for Korteweg-de Vries Burgers equation

Cites Work

• The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
• Legendre and Chebyshev spectral approximations of Burgers' equation
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• NUMERICAL SOLUTION OF AN INITIAL‐VALUE PROBLEM FOR A SEMICONDUCTOR DEVICE
• Stability of the Fourier Method
• Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations
• A numerical and theoretical study of certain nonlinear wave phenomena
• Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations
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