Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code

In this paper we describe the efficient numerical implementation of Fractional HBVMs, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab code fhbvm, which is made available on the web. An extensive exp...

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Bibliographic Details
Published in:arXiv.org 2024-03
Main Authors: Brugnano, Luigi, Gurioli, Gianmarco, Iavernaro, Felice
Format: Article
Language:English
Subjects:
Differential equations
Fractional calculus
Online Access:Get full text
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Summary:In this paper we describe the efficient numerical implementation of Fractional HBVMs, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab code fhbvm, which is made available on the web. An extensive experimentation of the code is reported, to give evidence of its effectiveness.
ISSN:2331-8422
DOI:10.48550/arxiv.2403.04916