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.
Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code / Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 99:(2025), pp. 463-489. [10.1007/s11075-024-01884-y]
Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code
Luigi Brugnano
;Gianmarco Gurioli;
2025
Abstract
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.
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numa (2024) 10.1007:s11075-024-01884-y.pdf
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numa 99 (2025) 463-489.pdf
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