In this paper we report a few numerical tests by using a slight extension of the Matlab code fhbvm in [L. Brugnano, G. Gurioli, F. Iavernaro. Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code. Numer. Algor. (2024). https://doi.org/10.1007/s11075-024-01884-y], 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.
Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code / Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro. - In: JOURNAL OF COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING. - ISSN 1472-7978. - STAMPA. - (2025), pp. 1-10. [10.1177/14727978251321328]
Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code
Luigi Brugnano;Gianmarco Gurioli
;
2025
Abstract
In this paper we report a few numerical tests by using a slight extension of the Matlab code fhbvm in [L. Brugnano, G. Gurioli, F. Iavernaro. Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code. Numer. Algor. (2024). https://doi.org/10.1007/s11075-024-01884-y], 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.
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