A new application of the Legendre reproducing kernel method

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dc.authoridHashemi, Mir Sajjad/0000-0002-5529-3125
dc.authoridForoutan, Mohammadreza/0000-0002-7373-617X
dc.contributor.authorForoutan, Mohammad Reza
dc.contributor.authorHashemi, Mir Sajjad
dc.contributor.authorGholizadeh, Leila
dc.contributor.authorAkgul, Ali
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:34:00Z
dc.date.available2024-12-24T19:34:00Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.3934/math.2022594
dc.identifier.endpage10670
dc.identifier.issn2473-6988
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85128149880
dc.identifier.scopusqualityQ1
dc.identifier.startpage10651
dc.identifier.urihttps://doi.org/10.3934/math.2022594
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8385
dc.identifier.volume7
dc.identifier.wosWOS:000782283500002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectLegendre polynomials
dc.subjectreproducing kernel functions
dc.subjectapproximate solution
dc.subjectconvergence analysis
dc.subjectboundary value problem
dc.titleA new application of the Legendre reproducing kernel method
dc.typeArticle

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