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.File allegati a questo prodotto
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