The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations

The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations

Year:    1983

Author:    Ben-Yu Guo

Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 353–362

Abstract

Much work has been done for the spectral scheme of the P.D.E. The author proposed a technique to prove the strict error estimation of the spectral scheme for the K.D.V.-Burgers equation. In this paper, the technique is generalized to two-dimensional vorticity equations. Under some conditions, the error estimation implies the convergence. The more smooth the solution of the vorticity equations, the more accurate the approximate solution.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1983-JCM-9713

Journal of Computational Mathematics, Vol. 1 (1983), Iss. 4 : pp. 353–362

Published online:    1983-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:   

Author Details

Ben-Yu Guo