On the construction of finite-term recursions for Fractional Differential Equations

LIDIA ACETO, CECILIA MAGHERINI, Novati Paolo

Risultato della ricerca: Contributo alla conferenzaContributo in Atti di Convegnopeer review

Abstract

This paper deals with the numerical solution of Fractional Differential Equations by means of m-step recursions. For the construction of such formulas, we consider a technique based on a rational approximation of the generating functions of Fractional Backward Differentiation Formulas (FBDFs). The so-defined methods simulate very well the properties of the underlying FBDFs with noticeable advantages in terms of memory saving. This fact becomes particularly evident when they are used for discretizing fractional partial differential equations like the ones occurring in some population dynamic models.
Lingua originaleInglese
Pagine17-19
Numero di pagine3
Stato di pubblicazionePubblicato - 2014
Evento14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014) - Costa Ballena, Rota, Cádiz (Spagna)
Durata: 1 gen 2014 → …

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???event.eventtypes.event.conference???14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014)
CittàCosta Ballena, Rota, Cádiz (Spagna)
Periodo1/01/14 → …

Keywords

  • Fractional BDFs
  • Fractional Differential Equations
  • Matrix functions

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