Fractional convolution quadrature based on generalized adams methods

Lidia Aceto; Cecilia Magherini; Paolo Novati

doi:10.1007/s10092-013-0094-4

Fractional convolution quadrature based on generalized adams methods

Lidia Aceto, Cecilia Magherini, Paolo Novati

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

In this paper we present a product quadrature rule for Volterra integral equations with weakly singular kernels based on the generalized Adams methods. The formulas represent numerical solvers for fractional differential equations, which inherit the linear stability properties already known for the integer order case. The numerical experiments confirm the valuable properties of this approach.

Lingua originale	Inglese
pagine (da-a)	441-463
Numero di pagine	23
Rivista	Calcolo
Volume	51
Numero di pubblicazione	3
DOI	https://doi.org/10.1007/s10092-013-0094-4
Stato di pubblicazione	Pubblicato - 1 set 2014
Pubblicato esternamente	Sì

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10.1007/s10092-013-0094-4

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title = "Fractional convolution quadrature based on generalized adams methods",

abstract = "In this paper we present a product quadrature rule for Volterra integral equations with weakly singular kernels based on the generalized Adams methods. The formulas represent numerical solvers for fractional differential equations, which inherit the linear stability properties already known for the integer order case. The numerical experiments confirm the valuable properties of this approach.",

keywords = "Fractional differential equations, Generalized Adams methods, Product quadrature rule",

author = "Lidia Aceto and Cecilia Magherini and Paolo Novati",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Italia 2013.",

year = "2014",

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AU - Magherini, Cecilia

AU - Novati, Paolo

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PY - 2014/9/1

Y1 - 2014/9/1

N2 - In this paper we present a product quadrature rule for Volterra integral equations with weakly singular kernels based on the generalized Adams methods. The formulas represent numerical solvers for fractional differential equations, which inherit the linear stability properties already known for the integer order case. The numerical experiments confirm the valuable properties of this approach.

AB - In this paper we present a product quadrature rule for Volterra integral equations with weakly singular kernels based on the generalized Adams methods. The formulas represent numerical solvers for fractional differential equations, which inherit the linear stability properties already known for the integer order case. The numerical experiments confirm the valuable properties of this approach.

KW - Fractional differential equations

KW - Generalized Adams methods

KW - Product quadrature rule

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Fractional convolution quadrature based on generalized adams methods

Abstract

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