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.


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


Zbl 0574.65135