Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

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dc.contributor.authorInc, Mustafa
dc.contributor.authorAkgul, Ali
dc.contributor.authorKilicman, Adem
dc.date.accessioned2024-04-24T17:12:11Z
dc.date.available2024-04-24T17:12:11Z
dc.date.issued2013
dc.departmentDicle Üniversitesien_US
dc.description.abstractWe investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel theory. Its exact solution is represented in the form of a series in reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of this method. The results obtained from this method are compared with the exact solutions and other methods. Results of numerical examples show that this method is simple, effective, and easy to use.en_US
dc.identifier.doi10.1155/2013/768963
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84884828626
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1155/2013/768963
dc.identifier.urihttps://hdl.handle.net/11468/17883
dc.identifier.wosWOS:000324409900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofAbstract and Applied Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[No Keyword]en_US
dc.titleNumerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Methoden_US
dc.titleNumerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method
dc.typeArticleen_US

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