An operator method for telegraph partial differential and difference equations

Basit Öğe Kaydı
dc.authoridMODANLI, Mahmut/0000-0002-7743-3512
dc.authoridAshyralyev, Allaberen/0000-0002-4153-6624
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorModanli, Mahmut
dc.date.accessioned2024-12-24T19:29:54Z
dc.date.available2024-12-24T19:29:54Z
dc.date.issued2015
dc.departmentSiirt Üniversitesi
dc.description.abstractThe Cauchy problem for abstract telegraph equations d(2)u(t)/dt(2) + alpha du(t)/dt + Au(t) + beta u(t) = f (t) (0 <= t <= T), u(0) = phi, u'(0) = psi in a Hilbert space H with the self-adjoint positive definite operator A is studied. Stability estimates for the solution of this problem are established. The first and second order of accuracy difference schemes for the approximate solution of this problem are presented. Stability estimates for the solution of these difference schemes are established. In applications, two mixed problems for telegraph partial differential equations are investigated. The methods are illustrated by numerical examples.
dc.identifier.doi10.1186/s13661-015-0302-z
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84923834515
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13661-015-0302-z
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7304
dc.identifier.wosWOS:000351217600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeropen
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjecttelegraph equations
dc.subjectCauchy problem
dc.subjectHilbert space
dc.subjectdifference schemes
dc.subjectstability
dc.titleAn operator method for telegraph partial differential and difference equations
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu