Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112166
Title: Parallel Direct and Iterative Methods for Solving the Time-Fractional Diffusion Equation on Multicore Processors
Authors: Sultanov, M. A.
Akimova, E. N.
Misilov, V. E.
Nurlanuly, E.
Issue Date: 2022
Publisher: MDPI
MDPI AG
Citation: Parallel Direct and Iterative Methods for Solving the Time-Fractional Diffusion Equation on Multicore Processors / M. A. Sultanov, E. N. Akimova, V. E. Misilov et al. // Mathematics. — 2022. — Vol. 10. — Iss. 3. — 323.
Abstract: The work is devoted to developing the parallel algorithms for solving the initial boundary problem for the time-fractional diffusion equation. After applying the finite-difference scheme to approximate the basis equation, the problem is reduced to solving a system of linear algebraic equations for each subsequent time level. The developed parallel algorithms are based on the Thomas algorithm, parallel sweep algorithm, and accelerated over-relaxation method for solving this system. Stability of the approximation scheme is established. The parallel implementations are developed for the multicore CPU using the OpenMP technology. The numerical experiments are performed to compare these methods and to study the performance of parallel implementations. The parallel sweep method shows the lowest computing time. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Keywords: ACCELERATED OVER-RELAXATION METHOD
CAPUTO FRACTIONAL DERIVATIVE
FINITE-DIFFERENCE SCHEME
PARALLEL COMPUTING
PARALLEL SWEEP METHOD
THOMAS ALGORITHM
TIME-FRACTIONAL DIFFUSION EQUATION
URI: http://hdl.handle.net/10995/112166
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85123516294
PURE ID: 29560989
ISSN: 2227-7390
metadata.dc.description.sponsorship: Funding: The first author (M.A.S.) and fourth author (E.N.) were financially supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP09258836). The second author (E.N.A.) and third author (V.E.M.) received no external funding.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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