A direct quadrature method for the solution of Volterra integral equations with periodic solution is proposed. This method is based on an exponentially fitted quadrature rule of Gaussian type, whose parameters depend on the problem, in order to reproduce the behavior of the analytical solution. The error of the quadrature rule is examined and a convergence analysis of the direct quadrature method is given. Some numerical experiments are presented for comparison with other existing methods.

Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution

CARDONE, Angelamaria;PATERNOSTER, Beatrice;
2015

Abstract

A direct quadrature method for the solution of Volterra integral equations with periodic solution is proposed. This method is based on an exponentially fitted quadrature rule of Gaussian type, whose parameters depend on the problem, in order to reproduce the behavior of the analytical solution. The error of the quadrature rule is examined and a convergence analysis of the direct quadrature method is given. Some numerical experiments are presented for comparison with other existing methods.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11386/4245853
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 10
social impact