In this paper, we explore how numerical calculations can be accelerated by implementing several numerical methods of fractional-order systems using parallel computing techniques. We investigate the feasibility of parallel computing algorithms and their efficiency in reducing the computational costs over a large time interval. Particularly, we present the case of Adams-Bashforth-Mouhlton predictor-corrector method and measure the speedup of two parallel approaches by using GPU and HPC cluster implementations.
@article{arxiv.1611.08678,
title = {Parallel simulations for Fractional-Order Systems},
author = {A. Baban and C. Bonchiş and A. Fikl and F. Roşu},
journal= {arXiv preprint arXiv:1611.08678},
year = {2016}
}