We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation. The use of the fractional B-splines allows us to express the fractional derivative of the approximating function in an analytic form. Thus, the fractional collocation method is easy to implement, accurate and efficient. Several numerical tests illustrate the efficiency of the proposed collocation method.
We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation. The use of the fractional B-splines allows us to express the fractional derivative of the approximating function in an analytic form. Thus, the fractional collocation method is easy to implement, accurate and efficient. Several numerical tests illustrate the efficiency of the proposed collocation method.
A fractional spline collocation method for the fractional order logistic equation / Pitolli, F.; Pezza, L.. - STAMPA. - 201, 217:(2017), pp. 307-318. (Intervento presentato al convegno 15th International Conference on Approximation Theory, 2016; tenutosi a San Antonio; United States nel 22 May 2016 through 25 May 2016; Code 195809) [10.1007/978-3-319-59912-0_15].
A fractional spline collocation method for the fractional order logistic equation
F. Pitolli
;L. Pezza
2017
Abstract
We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation. The use of the fractional B-splines allows us to express the fractional derivative of the approximating function in an analytic form. Thus, the fractional collocation method is easy to implement, accurate and efficient. Several numerical tests illustrate the efficiency of the proposed collocation method.| File | Dimensione | Formato | |
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ApproTheoryXV_FractLogistic_PitolliPezza_2016.pdf
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