Reproducing kernel method for the solutions of non-linear partial differential equations

dc.contributor.authorYildirim, Elif Nuray
dc.contributor.authorAkgül, Ali
dc.contributor.authorInc, Mustafa
dc.date.accessioned2024-12-24T19:10:20Z
dc.date.available2024-12-24T19:10:20Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn modeling of a lots of complex physical problems and engineering process, the non-linear partial differential equations have a very important role. Development of dependable and effective methods to solve such types equations are constructed. In the suggested technique, reproducing kernel method is examined to approximate the solutions together with reproducing kernel functions. In order to demonstrate accuracy, the performance and reliability of the proposed method, the results of the experiments and the available results are compared. There is high stability for a higher degree of accuracy between the solutions. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.
dc.identifier.doi10.1080/25765299.2021.1891678
dc.identifier.endpage86
dc.identifier.issn2576-5299
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85102190215
dc.identifier.scopusqualityQ1
dc.identifier.startpage80
dc.identifier.urihttps://doi.org10.1080/25765299.2021.1891678
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4052
dc.identifier.volume28
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofArab Journal of Basic and Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectbounded linear operator
dc.subjectHilbert spaces
dc.subjectpartial differential equations
dc.subjectReproducing kernel functions
dc.titleReproducing kernel method for the solutions of non-linear partial differential equations
dc.typeArticle

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