The paper deals with the approximate solution of integro-differential equations of Prandtl’s type. Quadrature methods involving “optimal” Lagrange interpolation processes are proposed and conditions under which they are stable and convergent in suitable weighted spaces of continuous functions are proved. The efficiency of the method has been tested by some numerical experiments, some of them including comparisons with other numerical procedures. In particular, as an application, we have implemented the method for solving Prandtl’s equation governing the circulation air flow along the contour of a plane wing profile, in the case of elliptic or rectangular wing-shape.
Quadrature methods for integro-differential equations of Prandtl’s type in weighted spaces of continuous functions
Maria Carmela De Bonis
;Donatella Occorsio
2021-01-01
Abstract
The paper deals with the approximate solution of integro-differential equations of Prandtl’s type. Quadrature methods involving “optimal” Lagrange interpolation processes are proposed and conditions under which they are stable and convergent in suitable weighted spaces of continuous functions are proved. The efficiency of the method has been tested by some numerical experiments, some of them including comparisons with other numerical procedures. In particular, as an application, we have implemented the method for solving Prandtl’s equation governing the circulation air flow along the contour of a plane wing profile, in the case of elliptic or rectangular wing-shape.File | Dimensione | Formato | |
---|---|---|---|
DeBonisOccorsioAMC2021Arxiv.pdf
non disponibili
Descrizione: Articolo principale
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
324.02 kB
Formato
Adobe PDF
|
324.02 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.