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dc.contributor.authorNandal, S.en
dc.contributor.authorZaky, M. A.en
dc.contributor.authorDe Staelen, R. H.en
dc.contributor.authorHendy, A. S.en
dc.date.accessioned2022-05-12T08:29:56Z-
dc.date.available2022-05-12T08:29:56Z-
dc.date.issued2021-
dc.identifier.citationNumerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay / S. Nandal, M. A. Zaky, R. H. De Staelen et al. // Mathematics. — 2021. — Vol. 9. — Iss. 23. — 3050.en
dc.identifier.issn2227-7390-
dc.identifier.otherAll Open Access, Green3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/112170-
dc.description.abstractThe purpose of this paper is to develop a numerical scheme for the two-dimensional fourth-order fractional subdiffusion equation with variable coefficients and delay. Using the L2 − 1σ approximation of the time Caputo derivative, a finite difference method with second-order accuracy in the temporal direction is achieved. The novelty of this paper is to introduce a numerical scheme for the problem under consideration with variable coefficients, nonlinear source term, and delay time constant. The numerical results show that the global convergence orders for spatial and time dimensions are approximately fourth order in space and second-order in time. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.en
dc.description.sponsorshipAcknowledgments: M.A.Z. wishes to acknowledge the support of Nazarbayev University Program 091019CRP2120 and the partial support of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant “Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications”). M.A.Z. wishes also to acknowledge the financial support of the National Research Centre of Egypt (NRC).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMDPIen1
dc.publisherMDPI AGen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematics2
dc.sourceMathematicsen
dc.subjectDELAYen
dc.subjectL2 TWO-DIMENSIONALen
dc.subjectNONLINEAR FRACTIONAL DIFFERENTIAL EQUATION OF FOURTH-ORDERen
dc.subjectVARIABLE COEFFICIENTSen
dc.titleNumerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delayen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi47535545-
dc.identifier.doi10.3390/math9233050-
dc.identifier.scopus85120310800-
local.contributor.employeeNandal, S., Technology Studies Department, Woosong University, Jayang-Dong, Dong-Gu, Daejeon, 300-718, South Korea; Zaky, M.A., Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan, Department of Applied Mathematics, National Research Centre, Dokki, Cairo, 12622, Egypt; De Staelen, R.H., Beheer en Algemene Directie, Ghent University Hospital, C. Heymanslaan 10, Ghent, 9000, Belgium, Dean’s Office of the Faculty of Medicine and Health Sciences, Ghent University, C. Heymanslaan 10, Ghent, 9000, Belgium; Hendy, A.S., Department of Mathematics, Faculty of Science, Benha University, Benha, 13511, Egypt, Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St., Yekaterinburg, 620002, Russian Federationen
local.issue23-
local.volume9-
dc.identifier.wos000735074800001-
local.contributor.departmentTechnology Studies Department, Woosong University, Jayang-Dong, Dong-Gu, Daejeon, 300-718, South Korea; Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan; Department of Applied Mathematics, National Research Centre, Dokki, Cairo, 12622, Egypt; Beheer en Algemene Directie, Ghent University Hospital, C. Heymanslaan 10, Ghent, 9000, Belgium; Dean’s Office of the Faculty of Medicine and Health Sciences, Ghent University, C. Heymanslaan 10, Ghent, 9000, Belgium; Department of Mathematics, Faculty of Science, Benha University, Benha, 13511, Egypt; Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St., Yekaterinburg, 620002, Russian Federationen
local.identifier.pure29066389-
local.description.order3050-
local.identifier.eid2-s2.0-85120310800-
local.identifier.wosWOS:000735074800001-
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