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.;
2019-01-01

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.
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Open Access dal 24/12/2021

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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/146075
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