Main programs:
- fhbvm.m (Rel.
2025-05-04) [3,4,5]
- fhbvm2.m (Rel.
2025-06-07) [2] (improved version of the code
fhbvm.m)
- fhbvm2_2.m (Rel.
2025-12-04) [1] (multi-order version of the code
fhbvm2.m)
Examples
from reference
1.:
Examples from reference 2.:
Examples
from reference 3.:
Examples from reference 4.:
References:
- L.Brugnano, G.Gurioli, F.Iavernaro,
M.Vikerpuur. A multi-order extension of Fractional
HBVMs (FHBVMs). J. Sci. Comput. 107 (2026) 94. https://doi.org/10.1007/s10915-026-03315-7
- LBrugnano, G.Gurioli, F.Iavernaro,
M.Vikerpuur. Analysis and implementation of
collocation methods for fractional differential
equations. J. Sci. Comput. 104
(2025) 92. https://doi.org/10.1007/s10915-025-03006-9
- L.Brugnano, G.Gurioli,
F.Iavernaro. Numerical solution of FDE-IVPs by using
Fractional HBVMs: the fhbvm code. Numer. Algorithms 99 (2025) 463-489. https://doi.org/10.1007/s11075-024-01884-y
- L.Brugnano, G.Gurioli,
F.Iavernaro. Solving FDE-IVPs by using Fractional
HBVMs: some experiments with the fhbvm code. J. Comput. Methods Sci.
Eng. 25(1) (2025) 1030-1038. https://doi.org/10.1177/14727978251321328
(preprint on
arXiv.2407.11460
[math.NA])
- L.Brugnano, K.Burrage,
P.Burrage, F.Iavernaro. A spectrally accurate
step-by-step method for the numerical solution of
fractional differential equations. J. Sci. Comput.
99 (2024) 48. https://doi.org/10.1007/s10915-024-02517-1
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