A New Application of the Legendre Reproducing Kernel Method
| dc.contributor.author | Hashemi, Mir Sajjad | |
| dc.contributor.author | Gholizadeh, Leila | |
| dc.contributor.author | Akgul, Ali | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Foroutan, Mohammad Reza | |
| dc.date.accessioned | 2024-02-09T11:41:05Z | |
| dc.date.accessioned | 2025-09-18T12:04:47Z | |
| dc.date.available | 2024-02-09T11:41:05Z | |
| dc.date.available | 2025-09-18T12:04:47Z | |
| dc.date.issued | 2022 | |
| dc.description | Hashemi, Mir Sajjad/0000-0002-5529-3125; Foroutan, Mohammadreza/0000-0002-7373-617X | en_US |
| dc.description.abstract | In this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method. | en_US |
| dc.identifier.citation | Foroutan, Mohammad Reza;...et.al. (2022). "A new application of the Legendre reproducing kernel method", AIMS Mathematics, Vol.7, No.6, pp.10671-10670. | en_US |
| dc.identifier.doi | 10.3934/math.2022594 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85128149880 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022594 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10446 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Reproducing Kernel Functions | en_US |
| dc.subject | Approximate Solution | en_US |
| dc.subject | Convergence Analysis | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.title | A New Application of the Legendre Reproducing Kernel Method | en_US |
| dc.title | A new application of the Legendre reproducing kernel method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hashemi, Mir Sajjad/0000-0002-5529-3125 | |
| gdc.author.id | Foroutan, Mohammadreza/0000-0002-7373-617X | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| gdc.author.wosid | Foroutan, Mohammadreza/I-6412-2019 | |
| gdc.author.wosid | Gholizadeh, Leila/N-3486-2018 | |
| gdc.author.wosid | Hashemi, Mir Sajjad/M-4081-2015 | |
| gdc.author.yokid | 234808 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Foroutan, Mohammad Reza] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran; [Hashemi, Mir Sajjad; Gholizadeh, Leila] Univ Bonab, Dept Math, POB 55513-95133, Bonab, Iran; [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 10670 | 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 | 10651 | en_US |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | legendre polynomials | |
| gdc.oaire.keywords | reproducing kernel functions | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.keywords | Legendre polynomials | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | approximate solution | |
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| gdc.oaire.keywords | convergence analysis | |
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| gdc.virtual.author | Jarad, Fahd | |
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