Short-term recursions for fractional differential equations

Lidia Aceto, Cecilia Magherini, Paolo Novati

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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 study 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 important computational advantages. This fact becomes particularly evident especially in the case when they are used for solving problems arising from the semi-discretization of fractional partial differential equations.

Lingua originaleInglese
Titolo della pubblicazione ospiteProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
EditoreAmerican Institute of Physics Inc.
ISBN (elettronico)9780735412873
DOI
Stato di pubblicazionePubblicato - 10 mar 2015
Pubblicato esternamente
EventoInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Durata: 22 set 201428 set 2014

Serie di pubblicazioni

NomeAIP Conference Proceedings
Volume1648
ISSN (stampa)0094-243X
ISSN (elettronico)1551-7616

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???event.eventtypes.event.conference???International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Paese/TerritorioGreece
CittàRhodes
Periodo22/09/1428/09/14

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