A collocation method in spline spaces for the solution of linear fractional dynamical systems
01 Pubblicazione su rivista
Pellegrino E., Pezza L., Pitolli F.
ISSN: 0378-4754
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.