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The Journal of Supercomputing

Erschienen in:

06.02.2018

HPC optimal parallel communication algorithm for the simulation of fractional-order systems

verfasst von: C. Bonchiş, E. Kaslik, F. Roşu

Erschienen in: The Journal of Supercomputing | Ausgabe 3/2019

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Abstract

A parallel numerical simulation algorithm is presented for fractional-order systems involving Caputo-type derivatives, based on the Adams–Bashforth–Moulton predictor–corrector scheme. The parallel algorithm is implemented using several different approaches: a pure MPI version, a combination of MPI with OpenMP optimization and a memory saving speedup approach. All tests run on a BlueGene/P cluster, and comparative improvement results for the running time are provided. As an applied experiment, the solutions of a fractional-order version of a system describing a forced series LCR circuit are numerically computed, depicting cascades of period-doubling bifurcations which lead to the onset of chaotic behavior.

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Titel: HPC optimal parallel communication algorithm for the simulation of fractional-order systems
verfasst von: C. Bonchiş
E. Kaslik
F. Roşu
Publikationsdatum: 06.02.2018
Verlag: Springer US
Erschienen in: The Journal of Supercomputing / Ausgabe 3/2019
Print ISSN: 0920-8542
Elektronische ISSN: 1573-0484
DOI: https://doi.org/10.1007/s11227-018-2267-z

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