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

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 in questo prodotto:
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.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/145251
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact