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Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/112166
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dc.contributor.authorSultanov, M. A.en
dc.contributor.authorAkimova, E. N.en
dc.contributor.authorMisilov, V. E.en
dc.contributor.authorNurlanuly, E.en
dc.date.accessioned2022-05-12T08:29:52Z-
dc.date.available2022-05-12T08:29:52Z-
dc.date.issued2022-
dc.identifier.citationParallel 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.en
dc.identifier.issn2227-7390-
dc.identifier.otherAll Open Access, Gold3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/112166-
dc.description.abstractThe 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.en
dc.description.sponsorshipFunding: 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.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMDPIen1
dc.publisherMDPI AGen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematics2
dc.sourceMathematicsen
dc.subjectACCELERATED OVER-RELAXATION METHODen
dc.subjectCAPUTO FRACTIONAL DERIVATIVEen
dc.subjectFINITE-DIFFERENCE SCHEMEen
dc.subjectPARALLEL COMPUTINGen
dc.subjectPARALLEL SWEEP METHODen
dc.subjectTHOMAS ALGORITHMen
dc.subjectTIME-FRACTIONAL DIFFUSION EQUATIONen
dc.titleParallel Direct and Iterative Methods for Solving the Time-Fractional Diffusion Equation on Multicore Processorsen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/math10030323-
dc.identifier.scopus85123516294-
local.contributor.employeeSultanov, M.A., Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 160200, Kazakhstan; Akimova, E.N., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya Street 16, Ekaterinburg, 620108, Russian Federation, Department of Information Technologies and Control Systems, Institute of Radioelectronics and Information Technology, Ural Federal University, Mira Street 19, Ekaterinburg, 620002, Russian Federation; Misilov, V.E., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya Street 16, Ekaterinburg, 620108, Russian Federation, Department of Information Technologies and Control Systems, Institute of Radioelectronics and Information Technology, Ural Federal University, Mira Street 19, Ekaterinburg, 620002, Russian Federation; Nurlanuly, E., Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 160200, Kazakhstanen
local.issue3-
local.volume10-
dc.identifier.wos000760478300001-
local.contributor.departmentDepartment of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 160200, Kazakhstan; Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya Street 16, Ekaterinburg, 620108, Russian Federation; Department of Information Technologies and Control Systems, Institute of Radioelectronics and Information Technology, Ural Federal University, Mira Street 19, Ekaterinburg, 620002, Russian Federationen
local.identifier.pure29560989-
local.description.order323-
local.identifier.eid2-s2.0-85123516294-
local.identifier.wosWOS:000760478300001-
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