A shooting-Newton procedure for solving fractional terminal value problems
Numerical Analysis
2024-11-05 v5 Numerical Analysis
Abstract
In this paper we consider the numerical solution of fractional terminal value problems (FDE-TVPs). In particular, the proposed procedure uses a Newton-type iteration which is particularly efficient when coupled with a recently-introduced step-by-step procedure for solving fractional initial value problems (FDE-IVPs), able to produce spectrally accurate solutions of FDE problems. Some numerical tests are reported to make evidence of its effectiveness.
Cite
@article{arxiv.2312.08516,
title = {A shooting-Newton procedure for solving fractional terminal value problems},
author = {Luigi Brugnano and Gianmarco Gurioli and Felice Iavernaro},
journal= {arXiv preprint arXiv:2312.08516},
year = {2024}
}
Comments
23 pages, 4 figures, 7 tables, one typo fixed