The time-simulation of models described by the Havriliak-Negami response function is a challenging problem due to the absence of an explicit formulation for the corresponding differential operator in the time-domain. In this work, we discuss a convolution quadrature rule with convolution weights evaluated on the basis of the representation of the response function in the Laplace transform domain. We describe a general and straightforward technique for the computation of the weights and we present some numerical experiments to illustrate the effectiveness of the proposed approach.

Time-domain simulation for fractional relaxation of Havriliak-Negami type / Garrappa, R; Maione, G; Popolizio, Marina. - ELETTRONICO. - (2014). (Intervento presentato al convegno International Conference on Fractional Differentiation and its Applications, ICFDA 2014 tenutosi a Catania, Italy nel June 23-25 , 2014) [10.1109/ICFDA.2014.6967399].

Time-domain simulation for fractional relaxation of Havriliak-Negami type

Maione G;Popolizio, Marina
2014-01-01

Abstract

The time-simulation of models described by the Havriliak-Negami response function is a challenging problem due to the absence of an explicit formulation for the corresponding differential operator in the time-domain. In this work, we discuss a convolution quadrature rule with convolution weights evaluated on the basis of the representation of the response function in the Laplace transform domain. We describe a general and straightforward technique for the computation of the weights and we present some numerical experiments to illustrate the effectiveness of the proposed approach.
2014
International Conference on Fractional Differentiation and its Applications, ICFDA 2014
978-1-4799-2591-9
Time-domain simulation for fractional relaxation of Havriliak-Negami type / Garrappa, R; Maione, G; Popolizio, Marina. - ELETTRONICO. - (2014). (Intervento presentato al convegno International Conference on Fractional Differentiation and its Applications, ICFDA 2014 tenutosi a Catania, Italy nel June 23-25 , 2014) [10.1109/ICFDA.2014.6967399].
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: https://hdl.handle.net/11589/23153
Citazioni
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 0
social impact