Reproducing Kernel Hilbert Space Method for Solving Bratu's Problem

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dc.contributor.authorInc, Mustafa
dc.contributor.authorAkgul, Ali
dc.contributor.authorGeng, Fazhan
dc.date.accessioned2024-04-24T16:10:39Z
dc.date.available2024-04-24T16:10:39Z
dc.date.issued2015
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this paper, we use the reproducing kernel Hilbert space method for solving a boundary value problem for the second order Bratu's differential equation. Convergence analysis of presented method is discussed. The numerical approximations to the exact solution are computed and compared with other existing methods. Our presented method produces more accurate results in comparison with those obtained by Adomian decomposition, Laplace decomposition, B-spline, non-polynomial spline and Lie-group shooting methods. Our yardstick is absolute error. The comparison of the results with exact ones is made to confirm the validity and efficiency.en_US
dc.description.sponsorshipFirat University Scientific Research Projects Unit, Turkey is under the Research University Grant Scheme [FF.12.09]en_US
dc.description.sponsorshipThe first and second authors acknowledge that this research supported by Firat University Scientific Research Projects Unit, Turkey is under the Research University Grant Scheme FF.12.09.en_US
dc.identifier.doi10.1007/s40840-014-0018-8
dc.identifier.endpage287en_US
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84923261890
dc.identifier.scopusqualityQ1
dc.identifier.startpage271en_US
dc.identifier.urihttps://doi.org/10.1007/s40840-014-0018-8
dc.identifier.urihttps://hdl.handle.net/11468/15008
dc.identifier.volume38en_US
dc.identifier.wosWOS:000351001200018
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBulletin of The Malaysian Mathematical Sciences Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectReproducing Kernel Methoden_US
dc.subjectSeries Solutionsen_US
dc.subjectBratu's Problemen_US
dc.subjectReproducing Kernel Spaceen_US
dc.titleReproducing Kernel Hilbert Space Method for Solving Bratu's Problemen_US
dc.titleReproducing Kernel Hilbert Space Method for Solving Bratu's Problem
dc.typeArticleen_US

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