RATES OF CONVERGENCE FOR COLLOCATION WITH JACOBI-POLYNOMIALS FOR THE AIRFOIL EQUATION

[摘要] In this paper we consider for the classical airfoil equation a collocation method based on Jacobi polynomials. The error is estimated in suitable nonstandard Sobolev norms which are defined in such a way to respect the singularity structure of the exact solution. Furthermore, our numerical experiments underline our optimal theoretical error estimates.

[发布日期] 1994-06-20

[关键词] COLLOCATION METHOD;AIRFOIL EQUATIONS;JACOBI POLYNOMIALS