TY - JOUR
T1 - The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations
AU - Guo , Ben-Yu
JO - Journal of Computational Mathematics
VL - 4
SP - 353
EP - 362
PY - 1983
DA - 1983/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9713.html
KW - 
AB - <p style="text-align: justify;">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.</p>