It is the purpose of this paper to provide an insight into spline collocation methods for the numerical solution of fractional differential equations. Matrix forms of one and two step spline collocation methods are given, for a direct usage into an algorithm. Numerical experiments compare accuracy and efficiency of these two classes of methods.

On Spline Collocation Methods for Fractional Differential Equations

Angelamaria Cardone
;
Dajana Conte;Beatrice Paternoster
2023-01-01

Abstract

It is the purpose of this paper to provide an insight into spline collocation methods for the numerical solution of fractional differential equations. Matrix forms of one and two step spline collocation methods are given, for a direct usage into an algorithm. Numerical experiments compare accuracy and efficiency of these two classes of methods.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4750145
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