Solving FDE-IVPs by using Fractional HBVMs: Some experiments with the fhbvm code

In this paper, we report a few numerical tests by using a slight extension of the Matlab © code fhbvm in [3], implementing Fractional HBVMs , a recently introduced class of numerical methods for solving initial value problems of fractional differential equations (FDE-IVPs). The reported experiments are aimed to give evidence of its effectiveness.

Authors

Gianmarco Gurioli (ORCID: https://orcid.org/0000-0003-0922-8119)
Luigi Brugnano (ORCID: https://orcid.org/0000-0002-6290-4107)
Felice Iavernaro (ORCID: https://orcid.org/0000-0002-9716-7370)

Institutions

University of Florence (IT)
University of Bari Aldo Moro (IT)

Publication Details

Journal: Journal of Computational Methods in Sciences and Engineering
Published: 2025-01-01
DOI: https://doi.org/10.1177/14727978251321328
Citations: 3
Primary Topic: Numerical methods for differential equations
Type: article
Field-Weighted Citation Impact: 7.89

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article

Solving FDE-IVPs by using Fractional HBVMs: Some experiments with the fhbvm code

Gianmarco Gurioli, Luigi Brugnano, Felice Iavernaro

Jan 1, 2025

3 citations

Journal of Computational Methods in Sciences and Engineering

Numerical methods for differential equations

7.89

article

Solving FDE-IVPs by using Fractional HBVMs: Some experiments with the fhbvm code

Gianmarco Gurioli, Luigi Brugnano, Felice Iavernaro

January 1, 2025article en

3 citations

Abstract

In this paper, we report a few numerical tests by using a slight extension of the Matlab © code fhbvm in [3], implementing Fractional HBVMs , a recently introduced class of numerical methods for solving initial value problems of fractional differential equations (FDE-IVPs). The reported experiments are aimed to give evidence of its effectiveness.

Journal of Computational Methods in Sciences and EngineeringVol. 25(1)

University of Florence (IT), University of Bari Aldo Moro (IT)

Openalex Percentile: Top 3%

Numerical methods for differential equations

7.89

DOI Open Access PDF OpenAlex

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