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A new application of the Legendre reproducing kernel method

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dc.contributor.authorForoutan, Mohammad Reza
dc.contributor.authorHashemi, Mir Sajjad
dc.contributor.authorGholizadeh, Leila
dc.contributor.authorAkgül, Ali
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-02-09T11:41:05Z
dc.date.available2024-02-09T11:41:05Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractn this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method.en_US
dc.identifier.citationForoutan, Mohammad Reza;...et.al. (2022). "A new application of the Legendre reproducing kernel method", AIMS Mathematics, Vol.7, No.6, pp.10671-10670.en_US
dc.identifier.doi10.3934/math.2022594
dc.identifier.endpage10670en_US
dc.identifier.issn24736988
dc.identifier.issue6en_US
dc.identifier.startpage10651en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7146
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectApproximate Solutionen_US
dc.subjectBoundary Value Problemen_US
dc.subjectConvergence Analysisen_US
dc.subjectLegendre Polynomialsen_US
dc.subjectReproducing Kernel Functionsen_US
dc.titleA new application of the Legendre reproducing kernel methodtr_TR
dc.titleA New Application of the Legendre Reproducing Kernel Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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