On the construction of finite-term recursions for Fractional Differential Equations

LIDIA ACETO; CECILIA MAGHERINI; Novati Paolo

On the construction of finite-term recursions for Fractional Differential Equations

LIDIA ACETO
, CECILIA MAGHERINI
, Novati Paolo

Department of Science and Technological Innovation

Research output: Contribution to conference › Paper › peer-review

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 consider 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 noticeable advantages in terms of memory saving. This fact becomes particularly evident when they are used for discretizing fractional partial differential equations like the ones occurring in some population dynamic models.

Original language	English
Pages	17-19
Number of pages	3
Publication status	Published - 2014
Event	14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014) - Costa Ballena, Rota, Cádiz (Spagna) Duration: 1 Jan 2014 → …

Conference

Conference	14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014)
City	Costa Ballena, Rota, Cádiz (Spagna)
Period	1/01/14 → …

Keywords

Fractional BDFs
Fractional Differential Equations
Matrix functions

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https://hdl.handle.net/11579/126329

Cite this

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title = "On the construction of finite-term recursions for Fractional Differential Equations",

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 consider 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 noticeable advantages in terms of memory saving. This fact becomes particularly evident when they are used for discretizing fractional partial differential equations like the ones occurring in some population dynamic models.",

keywords = "Fractional BDFs, Fractional Differential Equations, Matrix functions, Fractional BDFs, Fractional Differential Equations, Matrix functions",

author = "LIDIA ACETO and CECILIA MAGHERINI and Novati Paolo",

year = "2014",

language = "English",

pages = "17--19",

note = "14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014) ; Conference date: 01-01-2014",

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On the construction of finite-term recursions for Fractional Differential Equations. / ACETO, LIDIA; MAGHERINI, CECILIA; Paolo, Novati.
2014. 17-19 Paper presented at 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014), Costa Ballena, Rota, Cádiz (Spagna).

Research output: Contribution to conference › Paper › peer-review

TY - CONF

T1 - On the construction of finite-term recursions for Fractional Differential Equations

AU - ACETO, LIDIA

AU - MAGHERINI, CECILIA

AU - Paolo, Novati

PY - 2014

Y1 - 2014

N2 - This paper deals with the numerical solution of Fractional Differential Equations by means of m-step recursions. For the construction of such formulas, we consider 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 noticeable advantages in terms of memory saving. This fact becomes particularly evident when they are used for discretizing fractional partial differential equations like the ones occurring in some population dynamic models.

AB - This paper deals with the numerical solution of Fractional Differential Equations by means of m-step recursions. For the construction of such formulas, we consider 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 noticeable advantages in terms of memory saving. This fact becomes particularly evident when they are used for discretizing fractional partial differential equations like the ones occurring in some population dynamic models.

KW - Fractional BDFs

KW - Fractional Differential Equations

KW - Matrix functions

KW - Fractional BDFs

KW - Fractional Differential Equations

KW - Matrix functions

UR - https://iris.uniupo.it/handle/11579/126329

M3 - Paper

SP - 17

EP - 19

T2 - 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014)

Y2 - 1 January 2014

ER -

On the construction of finite-term recursions for Fractional Differential Equations

Abstract

Conference

Keywords

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