Numerical Solution of Fractional Order Burgers' Equation With Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method
| dc.authorid | Saldir, Onur/0000-0002-5292-9458 | |
| dc.authorid | Sakar, Mehmet Giyas/0000-0002-1911-2622 | |
| dc.authorscopusid | 57194593120 | |
| dc.authorscopusid | 54945074000 | |
| dc.authorscopusid | 16309407500 | |
| dc.authorwosid | Saldir, Onur/Jbs-5803-2023 | |
| dc.contributor.author | Saldir, Onur | |
| dc.contributor.author | Sakar, Mehmet Giyas | |
| dc.contributor.author | Erdogan, Fevzi | |
| dc.date.accessioned | 2025-05-10T17:10:48Z | |
| dc.date.available | 2025-05-10T17:10:48Z | |
| dc.date.issued | 2020 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Saldir, Onur; Sakar, Mehmet Giyas; Erdogan, Fevzi] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Saldir, Onur/0000-0002-5292-9458; Sakar, Mehmet Giyas/0000-0002-1911-2622 | en_US |
| dc.description.abstract | In this research, obtaining of approximate solution for fractional-order Burgers' equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms. Then an iterative approach is constructed by using kernel functions. The convergence of this approach and its error estimates are given. The numerical algorithm of the method is presented. Furthermore, numerical outcomes are shown with tables and graphics for some examples. These outcomes demonstrate that the proposed method is convenient and effective. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.3390/fractalfract4020027 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85089853455 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract4020027 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7537 | |
| dc.identifier.volume | 4 | en_US |
| dc.identifier.wos | WOS:000551263900005 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Burgers' Equation | en_US |
| dc.subject | Reproducing Kernel Method | en_US |
| dc.subject | Error Estimate | en_US |
| dc.subject | Dirichlet And Neumann Boundary Conditions | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | Numerical Solution of Fractional Order Burgers' Equation With Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method | en_US |
| dc.type | Article | en_US |