Numerical Solution of Fractional Bratu Type Equations With Legendre Reproducing Kernel Method
| dc.authorscopusid | 54945074000 | |
| dc.authorscopusid | 57194593120 | |
| dc.authorscopusid | 58486733300 | |
| dc.contributor.author | Sakar, M.G. | |
| dc.contributor.author | Saldır, O. | |
| dc.contributor.author | Akgül, A. | |
| dc.date.accessioned | 2025-05-10T17:01:23Z | |
| dc.date.available | 2025-05-10T17:01:23Z | |
| dc.date.issued | 2018 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Sakar M.G., Faculty of Sciences, Department of Mathematics, Yuzuncu Yil University, Van, 65080, Turkey; Saldır O., Faculty of Sciences, Department of Mathematics, Yuzuncu Yil University, Van, 65080, Turkey; Akgül A., Faculty of Art and Sciences, Department of Mathematics, Siirt University, Siirt, 56100, Turkey | en_US |
| dc.description.abstract | In this research, a new numerical method is proposed for solving fractional Bratu type boundary value problems. Fractional derivatives are taken in Caputo sense. This method is predicated on iterative approach of reproducing kernel Hilbert space theory with shifted Legendre polynomials. Construction of iterative process is shown by orthogonal projection operator. Numerical results show that our method is effective and convenient for fractional Bratu type problem. © 2018, Springer Nature India Private Limited. | en_US |
| dc.identifier.doi | 10.1007/s40819-018-0562-2 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopus | 2-s2.0-85062710896 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-018-0562-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/5147 | |
| dc.identifier.volume | 4 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | 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 | Boundary Value Problem | en_US |
| dc.subject | Bratu Equation | en_US |
| dc.subject | Numerical Approximation | en_US |
| dc.subject | Reproducing Kernel Method | en_US |
| dc.subject | Shifted Legendre Polynomials | en_US |
| dc.title | Numerical Solution of Fractional Bratu Type Equations With Legendre Reproducing Kernel Method | en_US |
| dc.type | Article | en_US |