The reproducing kernel Hilbert space method for solving Troesch's problem

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dc.contributor.authorİnç, Mustafa
dc.contributor.authorAkgül, Ali
dc.contributor.orcid0000-0003-4996-8373
dc.contributor.orcid0000-0001-9832-1424
dc.date.accessioned2024-04-24T17:56:08Z
dc.date.available2024-04-24T17:56:08Z
dc.date.issued2013
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractIn this paper, the reproducing kernel Hilbert space method (RKHSM) is applied for solving Troesch's problem. We used numerical examples to illustrate the accuracy and implementation of the method. The analytical result of the equation has been obtained in terms of a convergent series with easily computable components. The results are compared with the ones obtained by the homotopy perturbation method (HPM), the Laplace decomposition method (LDM), the perturbation method (PM), the Adomian decomposition method (ADM), the variational iteration method (VIM), the B-spline method and the nonstandard finite difference scheme (FDS) by using tables and figures. Numerical results show that the present method is effective.en_US
dc.identifier.citationİnç, M. ve Akgül, A. (2013). The reproducing kernel Hilbert space method for solving Troesch's problem. Journal of the Association of Arab Universities for Basic and Applied Sciences, 14(1), 19-27.
dc.identifier.doi10.1016/j.jaubas.2012.11.005
dc.identifier.endpage27en_US
dc.identifier.issn1815-3852
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84884700518
dc.identifier.scopusqualityN/A
dc.identifier.startpage19en_US
dc.identifier.urihttps://doi.org/10.1016/j.jaubas.2012.11.005
dc.identifier.urihttps://hdl.handle.net/11468/23321
dc.identifier.urihttps://www.tandfonline.com/doi/full/10.1016/j.jaubas.2012.11.005
dc.identifier.volume14en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherUniversity of Bahrainen_US
dc.relation.ispartofJournal of the Association of Arab Universities for Basic and Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectReproducing Kernel Methoden_US
dc.subjectReproducing Kernel Spaceen_US
dc.subjectSeries solutionsen_US
dc.subjectTroesch's problemen_US
dc.titleThe reproducing kernel Hilbert space method for solving Troesch's problemen_US
dc.titleThe reproducing kernel Hilbert space method for solving Troesch's problem
dc.typeArticleen_US

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