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The convergence of the spectral scheme for solving two-dimensional vorticity equations. (English) Zbl 0599.76030

The author proposed a technique to prove the strict error estimation of the spectral scheme for the KdV-Burgers equation [Acta Math. Sin. 28, 1- 15 (1985; Zbl 0574.65135)]. 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.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
35Q99 Partial differential equations of mathematical physics and other areas of application

Citations:

Zbl 0574.65135
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