The Performance of a Numerical Scheme on the Variable-Order Time-Fractional Advection-Reaction Equations
| dc.contributor.author | Hajipour, Mojtaba | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kheirkhah, Farnaz | |
| dc.date.accessioned | 2024-05-14T08:06:23Z | |
| dc.date.accessioned | 2025-09-18T13:26:42Z | |
| dc.date.available | 2024-05-14T08:06:23Z | |
| dc.date.available | 2025-09-18T13:26:42Z | |
| dc.date.issued | 2022 | |
| dc.description | Hajipour, Mojtaba/0000-0002-7223-9577 | en_US |
| dc.description.abstract | This paper is concerned with a highly accurate numerical scheme for a class of one and two-dimensional time-fractional advection-reaction-subdiffusion equations of variable order alpha(x, t) is an element of (0, 1). For the spatial and temporal discretization of the equation, a fourth order compact finite difference operator and a third-order weighted-shifted Grunwald formula are applied, respectively. The stability and convergence of the present scheme are addressed. Some extensive numerical experiments are performed to confirm the theoretical analysis and high-accuracy of this novel scheme. Comparisons are also made with the available schemes in the literature. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, D. (2022). "The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations", Applied Numerical Mathematics, Vol.178, pp.25-40. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2022.03.016 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85127208702 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2022.03.016 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12687 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Variable-Order Time-Fractional Derivative | en_US |
| dc.subject | Grunwald Formula | en_US |
| dc.subject | Compact Finite Difference | en_US |
| dc.subject | Reaction-Subdiffusion Problem | en_US |
| dc.title | The Performance of a Numerical Scheme on the Variable-Order Time-Fractional Advection-Reaction Equations | en_US |
| dc.title | The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hajipour, Mojtaba/0000-0002-7223-9577 | |
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| gdc.author.wosid | Hajipour, Mojtaba/E-1417-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kheirkhah, Farnaz; Hajipour, Mojtaba] Sahand Univ Technol, Dept Math, Box 51335-1996, Tabriz, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG-23, R76900, Bucharest, Romania | en_US |
| gdc.description.endpage | 40 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 25 | en_US |
| gdc.description.volume | 178 | en_US |
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| gdc.oaire.keywords | compact finite difference | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Grünwald formula | |
| gdc.oaire.keywords | reaction-subdiffusion problem | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | variable-order time-fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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