A shooting-Newton procedure for solving fractional terminal value problems
arXiv:2312.08516 · doi:10.1016/j.amc.2024.129164
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.
23 pages, 4 figures, 7 tables, one typo fixed