Time-Fractional Nonlinear Swift-Hohenberg Equation: Analysis and Numerical Simulation
| dc.contributor.author | Nasr, M. A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zahra, W. K. | |
| dc.date.accessioned | 2023-02-09T08:26:01Z | |
| dc.date.accessioned | 2025-09-18T13:27:56Z | |
| dc.date.available | 2023-02-09T08:26:01Z | |
| dc.date.available | 2025-09-18T13:27:56Z | |
| dc.date.issued | 2020 | |
| dc.description | Nasr, Mahmoud/0000-0002-1622-0871 | en_US |
| dc.description.abstract | In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative. The exponential fitting technique depends on a parameter that led to getting high-order accuracy. The convergence and unconditional stability will be discussed using the Fourier method and the analysis is built on uniform and nonuniform time steps, to solve initial singularity by using the graded meshes. Applicability and theoretical results will be demonstrated and enhanced with numerical examples. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. | en_US |
| dc.identifier.citation | Zahra, W.K.; Nasr, M.A.; Baleanu, Dumitru (2020). "Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation", Alexandria Engineering Journal, Vol. 59, No. 6, pp. 4491-4510. | en_US |
| dc.identifier.doi | 10.1016/j.aej.2020.08.002 | |
| dc.identifier.issn | 1110-0168 | |
| dc.identifier.issn | 2090-2670 | |
| dc.identifier.scopus | 2-s2.0-85090140350 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aej.2020.08.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13089 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Alexandria Engineering Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Exponential Fitting | en_US |
| dc.subject | Swift-Hohenberg Equation | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Nonuniform Time-Stepping | en_US |
| dc.subject | Stability/Convergence Analysis | en_US |
| dc.title | Time-Fractional Nonlinear Swift-Hohenberg Equation: Analysis and Numerical Simulation | en_US |
| dc.title | Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Zahra, Waheed/Aaj-8508-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nasr, Mahmoud/Hdm-1732-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zahra, W. K.; Nasr, M. A.] Tanta Univ, Fac Engn, Dept Engn Phys & Math, Tanta 31521, Egypt; [Zahra, W. K.] Egypt Japan Univ Sci & Technol E JUST, Inst Basic & Appl Sci, Dept Math, Alexandria 21934, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 4510 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 4491 | en_US |
| gdc.description.volume | 59 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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