Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorAmoozad, Taher
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorRostamy Malkhalifeh, Mohsen
dc.date.accessioned2024-05-19T14:46:30Z
dc.date.available2024-05-19T14:46:30Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn this paper, a new implementation based on the reproducing kernel method (RKM) without the Gram-Schmidt orthogonalization for solving linear and nonlinear systems of second-order boundary value problems is presented. In the RKM method, components such as points, space, inner product, bases, and a suitable method have an effect on increasing the accuracy. The easy implementation, elimination of the Gram-Schmidt process, fewer calculations, and high accuracy of the present method are interesting. The compatibility of numerical results and theorems demonstrates that the Present method is effective.en_US
dc.description.sponsorshipWe thank the anonymous reviewers for helpful comments, which lead to definite improvement in the manuscript. The authors would like to thank the associate editor and the reviewers for their valuable comments.en_US
dc.description.sponsorshipWe thank the anonymous reviewers for helpful comments, which lead to definite improvement in the manuscript. The authors would like to thank the associate editor and the reviewers for their valuable comments.en_US
dc.identifier.doi10.1007/s40435-023-01330-2
dc.identifier.issn2195-268X
dc.identifier.issn2195-2698
dc.identifier.scopus2-s2.0-85176132893en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org10.1007/s40435-023-01330-2
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5537
dc.identifier.wosWOS:001099707200001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofInternational Journal of Dynamics and Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectReproducing Kernel Hilbert Space Methoden_US
dc.subjectLinear And Non-Linear System Of Differential Equationsen_US
dc.subjectError Estimationen_US
dc.subjectConvergence Analysisen_US
dc.titleUsing a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPsen_US
dc.typeArticleen_US

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