An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay
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| Автор |
Zaky, M. A.
Van, Bockstal, K. Taha, T. R. Suragan, D. Hendy, A. S. |
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| Тематика |
CONVERGENCE AND STABILITY ESTIMATES
GALERKIN SPECTRAL METHOD L1 DIFFERENCE SCHEME TIME DELAY VARIABLE ORDER DIFFUSION DIFFUSION GALERKIN METHODS ITERATIVE METHODS NONLINEAR EQUATIONS SPECTROSCOPY TIMING CIRCUITS CONVERGENCE AND STABILITY CONVERGENCE ESTIMATES DIFFERENCE SCHEMES GALERKIN SPECTRAL METHOD L1 DIFFERENCE SCHEME ORDERING DIFFUSION STABILITY ESTIMATES TIME-DELAYS VARIABLE ORDER DIFFUSION VARIABLES ORDERING TIME DELAY |
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| Описание |
A linearized spectral Galerkin/finite difference approach is developed for variable fractional-order nonlinear diffusion–reaction equations with a fixed time delay. The temporal discretization for the variable-order fractional derivative is performed by the L1-approximation. An appropriate basis function in terms of Legendre polynomials is used to construct the Galerkin spectral method for the spatial discretization of the second-order spatial operator. The main advantage of the proposed approach is that the implementation of the iterative process is avoided for the nonlinear term in the variable fractional-order problem. Convergence and stability estimates for the constructed scheme are proved theoretically by discrete energy estimates. Some numerical experiments are finally provided to demonstrate the efficiency and accuracy of the theoretical findings. © 2022 Elsevier B.V.
091019CRP2120; Fonds Wetenschappelijk Onderzoek, FWO: 106016/12P2919N; Russian Science Foundation, RSF: 22-21-00075; Nazarbayev University, NU The first and the fourth authors were supported by the Nazarbayev University, Kazakhstan Program 091019CRP2120 . K. Van Bockstal is supported by a postdoctoral fellowship of the Research Foundation - Flanders, Belgium ( 106016/12P2919N ). A. S. Hendy wishes to acknowledge the support of the RSF, Russia grant, project 22-21-00075 . |
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| Дата |
2024-04-05T16:15:20Z
2024-04-05T16:15:20Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Zaky, MA, Van Bockstal, K, Taha, TR, Suragan, D & Hendy, AS 2023, 'An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay', Journal of Computational and Applied Mathematics, Том. 420, 114832. https://doi.org/10.1016/j.cam.2022.114832
Zaky, M. A., Van Bockstal, K., Taha, T. R., Suragan, D., & Hendy, A. S. (2023). An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay. Journal of Computational and Applied Mathematics, 420, [114832]. https://doi.org/10.1016/j.cam.2022.114832 0377-0427 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85138465521&doi=10.1016%2fj.cam.2022.114832&partnerID=40&md5=52c6e6c0015882d5ce473804bbb33c9b https://biblio.ugent.be/publication/01GP0NDAYERJH7A88PNDXJGKBK/file/01GP0NPQ7Y324TKAH15P6J80DX.pdf http://elar.urfu.ru/handle/10995/130193 10.1016/j.cam.2022.114832 85138465521 000888833400024 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00075
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Elsevier B.V.
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| Источник |
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics |
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