1. Электронный научный архив УрФУ
  2. 00. Общеуниверситетские коллекции
  3. Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://elar.urfu.ru/handle/10995/130966
Полная запись метаданных
Поле DCЗначениеЯзык
dc.contributor.authorPimenov, V.en
dc.contributor.authorLekomtsev, A.en
dc.date.accessioned2024-04-05T16:36:33Z-
dc.date.available2024-04-05T16:36:33Z-
dc.date.issued2023-
dc.identifier.citationPimenov, V & Lekomtsev, A 2023, 'Numerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delay', Mathematics, Том. 11, № 18, стр. 3941. https://doi.org/10.3390/math11183941harvard_pure
dc.identifier.citationPimenov, V., & Lekomtsev, A. (2023). Numerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delay. Mathematics, 11(18), 3941. https://doi.org/10.3390/math11183941apa_pure
dc.identifier.issn2227-7390-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Gold3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85176607311&doi=10.3390%2fmath11183941&partnerID=40&md5=8c5f78cba4ec704527bae540362bf8e81
dc.identifier.otherhttps://www.mdpi.com/2227-7390/11/18/3941/pdf?version=1695038369pdf
dc.identifier.urihttp://elar.urfu.ru/handle/10995/130966-
dc.description.abstractFor a space-fractional diffusion equation with a nonlinear superdiffusion coefficient and with the presence of a delay effect, the grid numerical method is constructed. Interpolation and extrapolation procedures are used to account for the functional delay. At each time step, the algorithm reduces to solving a linear system with a main matrix that has diagonal dominance. The convergence of the method in the maximum norm is proved. The results of numerical experiments with constant and variable delays are presented. © 2023 by the authors.en
dc.description.sponsorshipRussian Science Foundation, RSF: 22-21-00075en
dc.description.sponsorshipThis research was funded by the Russian Science Foundation grant number 22-21-00075.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)en
dc.relationinfo:eu-repo/grantAgreement/RSF//22-21-00075en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.rightscc-byother
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/unpaywall
dc.sourceMathematics2
dc.sourceMathematicsen
dc.subjectDELAYen
dc.subjectNONLINEAR SUPERDIFFUSION COEFFICIENTen
dc.subjectSPACE-FRACTIONAL DIFFUSION EQUATIONen
dc.titleNumerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delayen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.type|info:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/math11183941-
dc.identifier.scopus85176607311-
local.contributor.employeePimenov, V., Department of Computational Mathematics and Computer Science, Ural Federal University, 19 Mira Str, Yekaterinburg, 620002, Russian Federation, N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS, 16 S.Kovalevskaya Str, Yekaterinburg, 620108, Russian Federationen
local.contributor.employeeLekomtsev, A., Department of Computational Mathematics and Computer Science, Ural Federal University, 19 Mira Str, Yekaterinburg, 620002, Russian Federationen
local.issue18-
local.volume11-
dc.identifier.wos001073981800001-
local.contributor.departmentDepartment of Computational Mathematics and Computer Science, Ural Federal University, 19 Mira Str, Yekaterinburg, 620002, Russian Federationen
local.contributor.departmentN.N. Krasovskii Institute of Mathematics and Mechanics UB RAS, 16 S.Kovalevskaya Str, Yekaterinburg, 620108, Russian Federationen
local.identifier.pure46919644-
local.description.order3941-
local.identifier.eid2-s2.0-85176607311-
local.fund.rsf22-21-00075-
local.identifier.wosWOS:001073981800001-
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

Файлы этого ресурса:
Файл Описание РазмерФормат 
2-s2.0-85176607311.pdf322,75 kBAdobe PDFПросмотреть/Открыть
Показать базовое описание ресурса Статистика  Google Scholar





Лицензия на ресурс: Лицензия Creative Commons Creative Commons