Parallel Algorithm for Numerical Methods Applied to Fractional-order System | Zendy

Florin Rosu | Zendy

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Parallel Algorithm for Numerical Methods Applied to Fractional-order System

Author(s) -

Florin Rosu

Publication year - 2020

Publication title -

scalable computing practice and experience

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.192

H-Index - 18

ISSN - 1895-1767

DOI - 10.12694/scpe.v21i4.1837

Subject(s) - cuda , scheme (mathematics) , linear multistep method , algorithm , numerical analysis , predictor–corrector method , order (exchange) , computer science , mathematics , parallel computing , mathematical analysis , differential equation , differential algebraic equation , ordinary differential equation , finance , economics

A parallel algorithm is presented that approximates a solution for fractional-order systems. The algorithm is implemented in CUDA, using the specific GPU capabilities. The numerical methods used are Adams-Bashforth-Moulton (ABM) predictor-corrector scheme and Diethelm’s numerical method. A comparison is done between these numerical methods that adapts the same algorithm for the approximation of the solution.

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