Numerical Simulation for Time-Fractional Nonlinear Reaction-Diffusion System on a Uniform and Nonuniform Time Stepping
| dc.contributor.author | Hikal, Manal M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zahra, Waheed K. | |
| dc.date.accessioned | 2022-08-23T08:02:07Z | |
| dc.date.accessioned | 2025-09-18T15:44:38Z | |
| dc.date.available | 2022-08-23T08:02:07Z | |
| dc.date.available | 2025-09-18T15:44:38Z | |
| dc.date.issued | 2021 | |
| dc.description | Hikal, Manal/0000-0001-8339-0742; Zahra, Waheed K/0000-0002-6448-6877 | en_US |
| dc.description.abstract | In this article, two nonstandard high-order schemes on a uniform and nonuniform time stepping combined with the multi-parameter exponential fitting technique (MPEF) have been developed to solve the time-fractional nonlinear reaction-diffusion system. The first method based on the MPEF combined with the 3-weighted shifted-Grunwald-Letnikov approximation with uniform time stepping, this scheme leads to a numerical solution that suffers from the singularity near t = 0. In order to frustrate this singularity, a nonstandard higher-order L1-approximation for a nonuniform time-stepping scheme is developed. The developed scheme's convergence and unconditionally stability analysis have been verified. Numerical results effectively validate the theoretical aspects. | en_US |
| dc.identifier.citation | Zahra, Waheed K.; Hikal, Manal M.; Baleanu, Dumitru (2021). "Numerical simulation for time-fractional nonlinear reaction-diffusion system on a uniform and nonuniform time stepping", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol. 44, No. 7, pp. 5340-5364. | en_US |
| dc.identifier.doi | 10.1002/mma.7114 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85101833378 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7114 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14353 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Convergence Analysis | en_US |
| dc.subject | Exponential Fitting | en_US |
| dc.subject | Nonuniform Time Stepping | en_US |
| dc.subject | Stability | en_US |
| dc.title | Numerical Simulation for Time-Fractional Nonlinear Reaction-Diffusion System on a Uniform and Nonuniform Time Stepping | en_US |
| dc.title | Numerical simulation for time-fractional nonlinear reaction-diffusion system on a uniform and nonuniform time stepping | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hikal, Manal/0000-0001-8339-0742 | |
| gdc.author.id | Zahra, Waheed K/0000-0002-6448-6877 | |
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| gdc.author.wosid | Zahra, Waheed/Aaj-8508-2020 | |
| gdc.author.wosid | Hikal, Manal Mohamed/Jki-5715-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zahra, Waheed K.; Hikal, Manal M.] Tanta Univ, Fac Engn, Dept Engn Phys & Math, Tanta 31521, Egypt; [Zahra, Waheed K.] Egypt Japan Univ Sci & Technol E JUST, Inst Basic & Appl Sci, Dept Math, New Borg El Arab City, Egypt; [Hikal, Manal M.] Higher Inst Engn & Technol Kafrelsheikh, Dept Basic Sci, Kafr Al Sheikh, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 5364 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 5340 | en_US |
| gdc.description.volume | 44 | en_US |
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| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
| gdc.oaire.keywords | nonuniform time stepping | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | exponential fitting | |
| gdc.oaire.keywords | convergence analysis | |
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