HPC optimal parallel communication algorithm for the simulation of fractional-order systems
نویسندگان
چکیده
A parallel numerical simulation algorithm is presented for fractionalorder systems involving Caputo-type derivatives, based on the AdamsBashforth-Moulton (ABM) 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 fractionalorder 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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عنوان ژورنال:
- CoRR
دوره abs/1710.01133 شماره
صفحات -
تاریخ انتشار 2017