Approximating Real-Life Bvps Via Chebyshev Polynomials' First Derivative Pseudo-Galerkin Method
| dc.contributor.author | Alaa-Eldeen, Toqa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alshehri, Maryam G. | |
| dc.contributor.author | El-Kady, Mamdouh | |
| dc.contributor.author | Abdelhakem, Mohamed | |
| dc.date.accessioned | 2022-03-22T11:44:03Z | |
| dc.date.accessioned | 2025-09-18T14:09:57Z | |
| dc.date.available | 2022-03-22T11:44:03Z | |
| dc.date.available | 2025-09-18T14:09:57Z | |
| dc.date.issued | 2021 | |
| dc.description | Abdelhakem, Mohamed/0000-0001-7085-1685; Alaa Eldeen, Toqa/0000-0003-3063-3397 | en_US |
| dc.description.abstract | An efficient technique, called pseudo-Galerkin, is performed to approximate some types of linear/nonlinear BVPs. The core of the performance process is the two well-known weighted residual methods, collocation and Galerkin. A novel basis of functions, consisting of first derivatives of Chebyshev polynomials, has been used. Consequently, new operational matrices for derivatives of any integer order have been introduced. An error analysis is performed to ensure the convergence of the presented method. In addition, the accuracy and the efficiency are verified by solving BVPs examples, including real-life problems. | en_US |
| dc.identifier.citation | Abdelhakem, Mohamed...et al. (2021). "Approximating Real-Life BVPs via Chebyshev Polynomials' First Derivative Pseudo-Galerkin Method", Fractal and Fractional, Vol. 5, No. 4. | en_US |
| dc.identifier.doi | 10.3390/fractalfract5040165 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85117590251 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract5040165 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13539 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Chebyshev Polynomials' First Derivative | en_US |
| dc.subject | Pseudo-Galerkin | en_US |
| dc.subject | Weighted Residual Methods | en_US |
| dc.subject | Error Analysis | en_US |
| dc.subject | Lane-Emden | en_US |
| dc.subject | Population Model | en_US |
| dc.subject | Mhd | en_US |
| dc.title | Approximating Real-Life Bvps Via Chebyshev Polynomials' First Derivative Pseudo-Galerkin Method | en_US |
| dc.title | Approximating Real-Life BVPs via Chebyshev Polynomials' First Derivative Pseudo-Galerkin Method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdelhakem, Mohamed/0000-0001-7085-1685 | |
| gdc.author.id | Alaa Eldeen, Toqa/0000-0003-3063-3397 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Elkady, Mamdouh/Jac-0033-2023 | |
| gdc.author.wosid | Alshehri, Maryam/Hlw-0762-2023 | |
| gdc.author.wosid | Alaaeldeen, Toqa/Aae-3788-2022 | |
| gdc.author.wosid | Abdelhakem, Mohamed/Aaf-6816-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdelhakem, Mohamed; El-Kady, Mamdouh] Helwan Univ, Dept Math, Fac Sci, Cairo 11795, Egypt; [Abdelhakem, Mohamed; El-Kady, Mamdouh] Canadian Int Coll, Sch Engn, Dept Basic Sci, New Cairo 11835, Egypt; [Alaa-Eldeen, Toqa] High Inst Civil & Architectural Engn 15 Mayo, Cairo 11744, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Alshehri, Maryam G.] Univ Tabuk, Dept Math, Fac Sci, Tabuk 71491, Saudi Arabia | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 165 | |
| gdc.description.volume | 5 | en_US |
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| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | weighted residual methods | |
| gdc.oaire.keywords | Lane–Emden | |
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| gdc.oaire.keywords | Chebyshev polynomials’ first derivative | |
| gdc.oaire.keywords | Chebyshev polynomials’ first derivative; pseudo-Galerkin; weighted residual methods; error analysis; Lane–Emden; population model; MHD | |
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