A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

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dc.contributor.authorİnç, Mustafa
dc.contributor.authorAkgul, Ali
dc.contributor.authorKilicman, Adem
dc.date.accessioned2026-08-12T16:36:08Z
dc.date.issued2013
dc.departmentFırat Üniversitesi
dc.description.abstractWe propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples have also been studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective.
dc.description.sponsorshipUniversity Putra Malaysia under the ERGS Grant Scheme [5527068]; Ministry of Science, Technology and Inovation (MOSTI), Malaysia [06-01-04-SF1050]
dc.description.sponsorshipA. Kilicman gratefully acknowledge that this paper was partially supported by the University Putra Malaysia under the ERGS Grant Scheme having project no. 5527068 and Ministry of Science, Technology and Inovation (MOSTI), Malaysia under the Science Fund 06-01-04-SF1050.
dc.identifier.doi10.1155/2013/578942
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84874864196
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1155/2013/578942
dc.identifier.urihttps://hdl.handle.net/11508/45160
dc.identifier.wosWOS:000315497700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofAbstract and Applied Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.titleA Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
dc.typeArticle

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