English

Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code

Numerical Analysis 2025-03-18 v2 Numerical Analysis

Abstract

In this paper we report a few numerical tests by using a slight extension of the Matlab code fhbvm in [8], implementing Fractional HBVMs, a recently introduced class of numerical methods for solving Initial Value Problems of Fractional Differential Equations (FDE-IVPs). The reported experiments are aimed to give evidence of its effectiveness.

Keywords

Cite

@article{arxiv.2407.11460,
  title  = {Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code},
  author = {L. Brugnano and G. Gurioli and F. Iavernaro},
  journal= {arXiv preprint arXiv:2407.11460},
  year   = {2025}
}

Comments

10 pages, 4 figures, minor typos fixed. J. Comput. Methods Sci. Eng. (2025)

R2 v1 2026-06-28T17:42:38.668Z