We use a collocation method in refinable spline spaces to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit differentiation rule for the B-spline basis that allows us to efficiently evaluate the collocation matrices appearing in the method. We prove the convergence of the method and show some numerical results.

A collocation method in spline spaces for the solution of linear fractional dynamical systems / Pellegrino, E.; Pezza, L.; Pitolli, F.. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - (2020). [10.1016/j.matcom.2019.12.006]

A collocation method in spline spaces for the solution of linear fractional dynamical systems

Pezza L.;Pitolli F.
2020

Abstract

We use a collocation method in refinable spline spaces to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit differentiation rule for the B-spline basis that allows us to efficiently evaluate the collocation matrices appearing in the method. We prove the convergence of the method and show some numerical results.
2020
B-spline; Collocation method; Fractional differential problem; Projection method
01 Pubblicazione su rivista::01a Articolo in rivista
A collocation method in spline spaces for the solution of linear fractional dynamical systems / Pellegrino, E.; Pezza, L.; Pitolli, F.. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - (2020). [10.1016/j.matcom.2019.12.006]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1360250
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