Solution of nonlinear fractional-order models of nuclear reactor with parallel computing: Implementation on GPU platform

YC Keluskar, NG Singhaniya, VA Vyawahare… - Annals of Nuclear …, 2024 - Elsevier
This paper present novel parallel computing algorithms for numerical solution of nonlinear
fractional-order (FO) models of nuclear reactor. These FO models arise by virtue of …

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

C Bonchiş, E Kaslik, F Roşu - The Journal of Supercomputing, 2019 - Springer
A parallel numerical simulation algorithm is presented for fractional-order systems involving
Caputo-type derivatives, based on the Adams–Bashforth–Moulton predictor–corrector …

Parallel Realization of the Problem of Heat and Moisture Transfer in Fractal-structure Materials

Y Sokolovskyy, V Yarkun, Y Protsyk… - 2020 IEEE 15th …, 2020 - ieeexplore.ieee.org
This paper was analyzes the parallel solutions for the research of heat and moisture transfer
in fractal-structure materials on multicore computers. A mathematical model is presented for …

Software and Algorithmic Aspects of Parallel Calculation of Non-Isothermal Moisture Transfer in Fractal-Structure Materials

Y Sokolovskyy, V Yarkun, O Storozhuk… - 2021 IEEE XVIIth …, 2021 - ieeexplore.ieee.org
A new mathematical model of the nonstationary process of heat and moisture transfer in the
two-dimensional region is constructed on the basis of the use of Kaputo and Grunwald …

Performance of Vectorized GPU-Algorithm for Computing-Caputo Derivative Values

V Bohaienko - … Conference on Computer Science, Engineering and …, 2020 - Springer
Modeling of diffusion in fractal-structured media using multidimensional fractional differential
equations has high computational complexity. To lower time spent on simulation, the paper …