Generalized Adams methods for fractional differential equations

LIDIA ACETO; CECILIA MAGHERINI; P. Novati

doi:10.1063/1.4756110

Generalized Adams methods for fractional differential equations

LIDIA ACETO, CECILIA MAGHERINI, P. Novati

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo alla conferenza › Contributo in Atti di Convegno › peer review

Abstract

We introduce a new family of fractional convolution quadratures based on generalized Adams methods for the numerical solution of fractional differential equations. We discuss their accuracy and linear stability properties. The boundary loci reported show that, when used as Boundary Value Methods, these schemes overcome the classical order barrier for A-stable methods.

Lingua originale	Inglese
Pagine	250-253
Numero di pagine	4
DOI	https://doi.org/10.1063/1.4756110
Stato di pubblicazione	Pubblicato - 1 gen 2012
Evento	International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) - Kos, GREECE Durata: 1 gen 2012 → …

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???event.eventtypes.event.conference???	International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)
Città	Kos, GREECE
Periodo	1/01/12 → …

Keywords

Convolution Quadratures
Fractional Differential Equations
Generalized Adams Methods

Accesso al documento

10.1063/1.4756110

http://hdl.handle.net/11579/126332

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author = "LIDIA ACETO and CECILIA MAGHERINI and P. Novati",

year = "2012",

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AU - Novati, P.

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AB - We introduce a new family of fractional convolution quadratures based on generalized Adams methods for the numerical solution of fractional differential equations. We discuss their accuracy and linear stability properties. The boundary loci reported show that, when used as Boundary Value Methods, these schemes overcome the classical order barrier for A-stable methods.

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KW - Fractional Differential Equations

KW - Generalized Adams Methods

KW - Convolution Quadratures

KW - Fractional Differential Equations

KW - Generalized Adams Methods

UR - https://iris.uniupo.it/handle/11579/126332

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DO - 10.1063/1.4756110

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T2 - International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)

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Generalized Adams methods for fractional differential equations

Abstract

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Keywords

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