Numerical Solution of Fractional Bratu Type Equations with Legendre Reproducing Kernel Method

dc.contributor.authorSakar, Mehmet Giyas
dc.contributor.authorSaldır, Onur
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2018
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.1007/s40819-018-0562-2
dc.identifier.issn2349-5103
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85062710896
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-018-0562-2
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4027
dc.identifier.volume4
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectBoundary value problem
dc.subjectBratu equation
dc.subjectNumerical approximation
dc.subjectReproducing kernel method
dc.subjectShifted Legendre polynomials
dc.titleNumerical Solution of Fractional Bratu Type Equations with Legendre Reproducing Kernel Method
dc.typeArticle

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