We illustrate a MATLAB implementation of two-step spline collocation methods for the numerical solution of fractional differential equations, introduced by Cardone, Conte and Paternoster in (Discrete Dyn. Syst. Ser. B 23(7) 2709--2725 (2018)). The computational tasks include the evaluation of fractional integrals, a suitable starting procedure, and the efficient computation of the coefficients of certain polynomials. The whole algorithm is described in detail. Some numerical experiments show the performances of the proposed algorithm.
A MATLAB Code for Fractional Differential Equations Based on Two-Step Spline Collocation Methods
Cardone, Angelamaria
;Conte, Dajana;Paternoster, Beatrice
2023-01-01
Abstract
We illustrate a MATLAB implementation of two-step spline collocation methods for the numerical solution of fractional differential equations, introduced by Cardone, Conte and Paternoster in (Discrete Dyn. Syst. Ser. B 23(7) 2709--2725 (2018)). The computational tasks include the evaluation of fractional integrals, a suitable starting procedure, and the efficient computation of the coefficients of certain polynomials. The whole algorithm is described in detail. Some numerical experiments show the performances of the proposed algorithm.File in questo prodotto:
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