Analysis and implementation of collocation methods for fractional differential equations
Numerical Analysis
2025-07-29 v1 Numerical Analysis
Abstract
Recently, the class of Runge-Kutta type methods named Fractional HBVMs (FHBVMs) has been introduced for the numerical solution of initial value problems of fractional differential equations, and a corresponding Matlab software has been released. Though an error analysis has already been given, a corresponding linear stability analysis is still lacking. We here provide such an analysis, together with some improvements concerning the mesh selection. This latter has been implemented into a new version of the code, which is available on the web.
Cite
@article{arxiv.2503.17719,
title = {Analysis and implementation of collocation methods for fractional differential equations},
author = {Luigi Brugnano and Gianmarco Gurioli and Felice Iavernaro and Mikk Vikerpuur},
journal= {arXiv preprint arXiv:2503.17719},
year = {2025}
}
Comments
30 pages, 10figures, 1 table