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

E. Pellegrino, L. Pezza and F. Pitolli

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 176, issue C, 266-278

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.

Keywords: Fractional differential problem; Projection method; Collocation method; B-spline (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:176:y:2020:i:c:p:266-278

DOI: 10.1016/j.matcom.2019.12.006

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