The errors estimation of the Chebyshev spectral-difference method for two-dimensional vorticity equation

DOI10.1007/BF02662069zbMath0806.65120OpenAlexW2030519185MaRDI QIDQ1335408

Yue-Shan Xiong

Publication date: 9 February 1995

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

Full work available at URL: https://doi.org/10.1007/bf02662069

zbMATH Keywords

stabilityconvergenceenergy methodvorticity equationChebyshev spectral-difference schemeerrors estimation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Finite difference methods applied to problems in fluid mechanics (76M20) 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) Applications to the sciences (65Z05)

Cites Work

• Chebyshev expansion methods for the solution of elliptic partial differential equations
• The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• A spectral-difference method for two-dimensional viscous flow
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
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