As well known, solutions of delay differential equations (DDEs) are characterizes by low regularity. In particular solutions of neutral delay differential equations (NDDEs) frequently exhibit discontinuities in the first derivative so that the differential problems become rough. The aim of this paper is to approximate the solutions of such rough delay problems by means of a peculiar deficient spline collocation method. Significant numerical examples are provided to enlighten the features of the proposed method.

Peculiar spline collocation method for solving rough and stiff delay differential problems.

CALIO', FRANCA;MARCHETTI, ELENA MARIA;PAVANI, RAFFAELLA
2004

Abstract

As well known, solutions of delay differential equations (DDEs) are characterizes by low regularity. In particular solutions of neutral delay differential equations (NDDEs) frequently exhibit discontinuities in the first derivative so that the differential problems become rough. The aim of this paper is to approximate the solutions of such rough delay problems by means of a peculiar deficient spline collocation method. Significant numerical examples are provided to enlighten the features of the proposed method.
NDDE; collocation spline; deficient spline; stiff and rough problems
File in questo prodotto:
File Dimensione Formato  
PecSplineDelayDiffPb.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 5.08 MB
Formato Adobe PDF
5.08 MB Adobe PDF   Visualizza/Apri

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/11311/564728
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact