Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces

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dc.contributor.authorAkgul, Ali
dc.contributor.authorGrow, David
dc.date.accessioned2024-12-24T19:24:02Z
dc.date.available2024-12-24T19:24:02Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.descriptionInternational Conference on Computational Modeling and Simulation -- MAY 17-19, 2017 -- Colombo, SRI LANKA
dc.description.abstractWe demonstrate the existence of a unique solution to a nonhomogeneous telegraph initial/boundary value problem on the unit square in an appropriate binary reproducing kernel Hilbert space which depends on the smoothness of the driver. Examples are given to illustrate the numerical effectiveness of the reproducing kernel method when properly applied and the aberrations which can occur when no solution exists in the space.
dc.identifier.doi10.1007/s12591-019-00453-3
dc.identifier.endpage744
dc.identifier.issn0971-3514
dc.identifier.issn0974-6870
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85075257447
dc.identifier.scopusqualityQ2
dc.identifier.startpage715
dc.identifier.urihttps://doi.org/10.1007/s12591-019-00453-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5822
dc.identifier.volume28
dc.identifier.wosWOS:000549727700014
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer India
dc.relation.ispartofDifferential Equations and Dynamical Systems
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectReproducing kernel Hilbert space
dc.subjectExistence of solutions
dc.subjectTelegraph equation
dc.titleExistence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces
dc.typeConference Object

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