Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto-Sivashinsky equation

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dc.authoridBonyah, Ebenezer/0000-0003-0808-4504
dc.contributor.authorAkgul, Ali
dc.contributor.authorBonyah, Ebenezer
dc.date.accessioned2024-12-24T19:28:26Z
dc.date.available2024-12-24T19:28:26Z
dc.date.issued2019
dc.departmentSiirt Üniversitesi
dc.description.abstractReproducing kernel Hilbert space method is given for the solution of generalized Kuramoto-Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto-Sivashinsky equation. Two examples have been introduced to prove the accuracy of the method. The obtained results show that the reproducing kernel Hilbert space method gives approximate analytical solutions which are very close to the exact solution of the generalized Kuramoto-Sivashinsky equation, which demonstrates the power of the proposed technique. We prove the efficiency of the reproducing kernel Hilbert space method in this paper.
dc.identifier.doi10.1080/16583655.2019.1618547
dc.identifier.endpage669
dc.identifier.issn1658-3655
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85085574436
dc.identifier.scopusqualityQ1
dc.identifier.startpage661
dc.identifier.urihttps://doi.org/10.1080/16583655.2019.1618547
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7041
dc.identifier.volume13
dc.identifier.wosWOS:000468767000001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofJournal of Taibah University For Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectGeneralized Kuramoto-Sivashinsky equation
dc.subjectreproducing kernel functions
dc.subjectHilbert spaces
dc.titleReproducing kernel Hilbert space method for the solutions of generalized Kuramoto-Sivashinsky equation
dc.typeArticle

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