Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112170
Title: Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay
Authors: Nandal, S.
Zaky, M. A.
De Staelen, R. H.
Hendy, A. S.
Issue Date: 2021
Publisher: MDPI
MDPI AG
Citation: Numerical 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.
Abstract: The 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.
Keywords: DELAY
L2 TWO-DIMENSIONAL
NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION OF FOURTH-ORDER
VARIABLE COEFFICIENTS
URI: http://hdl.handle.net/10995/112170
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85120310800
PURE ID: 29066389
ISSN: 2227-7390
metadata.dc.description.sponsorship: Acknowledgments: 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).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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