Numerical Study for Two Types Variable-Order Burgers' Equations With Proportional Delay
| dc.contributor.author | Al-Mekhlafi, Seham | |
| dc.contributor.author | Shatta, Salma | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Sweilam, Nasser | |
| dc.date.accessioned | 2024-04-29T12:20:04Z | |
| dc.date.accessioned | 2025-09-18T12:04:42Z | |
| dc.date.available | 2024-04-29T12:20:04Z | |
| dc.date.available | 2025-09-18T12:04:42Z | |
| dc.date.issued | 2020 | |
| dc.description | Al-Mekhlafi, Seham/0000-0003-0351-9679 | en_US |
| dc.description.abstract | In this paper, variable order Burgers' equations with proportional delays in time and space are studied. The variable order derivatives are defined in the sense of Atangana and Baleanu. Two types of variable order Atangana and Baleanu definitions are presented here. The nonstandard weighted average finite difference method is developed to study numerically the proposed models problem in one and two dimensional. Moreover, the stability analysis and truncation error are analyzed. Two test examples with proportional delays are given to characterizing the memory property of the proposed models. It is found that the proposed technique can be applied to study such variable-order fractional equations simply and effectively. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Sweilam, Nasser;...et.al. (2020). "Numerical study for two types variable-order Burgers' equations with proportional delay", Applied Numerical Mathematics, Vol.156, pp.364-376. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2020.05.006 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85084831005 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2020.05.006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10424 | |
| 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 | Delay Partial Differential Equations | en_US |
| dc.subject | Burgers' Equations | en_US |
| dc.subject | Atangana And Baleanu Variable-Order Fractional Derivative | en_US |
| dc.subject | Nonstandard Weighted Average Finite Difference Method | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | Numerical Study for Two Types Variable-Order Burgers' Equations With Proportional Delay | en_US |
| dc.title | Numerical study for two types variable-order Burgers' equations with proportional delay | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Al-Mekhlafi, Seham/0000-0003-0351-9679 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shatta, Salma/Aau-7198-2020 | |
| gdc.author.wosid | Sweilam, Nasser/Q-2175-2019 | |
| gdc.author.wosid | Al-Mekhlafi, Seham/Abe-2359-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Sweilam, Nasser] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Al-Mekhlafi, Seham] Sanaa Univ, Fac Educ, Dept Math, Sanaa, Yemen; [Shatta, Salma] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 376 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 364 | en_US |
| gdc.description.volume | 156 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | delay partial differential equations | |
| gdc.oaire.keywords | Burgers' equations | |
| gdc.oaire.keywords | Atangana and Baleanu variable-order fractional derivative | |
| gdc.oaire.keywords | stability analysis | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Error bounds for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | PDEs on time scales | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | nonstandard weighted average finite difference method | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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