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.
|Titolo:||Time-domain simulation for fractional relaxation of Havriliak-Negami type|
|Data di pubblicazione:||2014|
|Nome del convegno:||International Conference on Fractional Differentiation and its Applications, ICFDA 2014|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1109/ICFDA.2014.6967399|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|