A Collocation Method in Spline Spaces for the Solution of Linear Fractional Dynamical Systems
Numerical Analysis
2020-08-03 v1 Numerical Analysis
Abstract
We used a collocation method in refinable spline space to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit derivation rule for the B-spline basis that allows us to efficiently evaluate the collocation matrices appearing in the method. We proof the convergence of the method. Some numerical results are shown.
Cite
@article{arxiv.1907.10927,
title = {A Collocation Method in Spline Spaces for the Solution of Linear Fractional Dynamical Systems},
author = {Enza Pellegrino and Laura Pezza and Francesca Pitolli},
journal= {arXiv preprint arXiv:1907.10927},
year = {2020}
}
Comments
19 pages, 9 figures