On the Stable Difference Schemes for the Schrodinger Equation with Time Delay

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dc.authoridAshyralyev, Allaberen/0000-0002-4153-6624
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAgirseven, Deniz
dc.date.accessioned2024-06-12T11:13:56Z
dc.date.available2024-06-12T11:13:56Z
dc.date.issued2020
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn the present paper, the first and second order of accuracy difference schemes for the approximate solutions of the initial value problem for Schrodinger equation with time delay in a Hilbert space are presented. The theorem on stability estimates for the solutions of these difference schemes is established. The application of theorems on stability of difference schemes for the approximate solutions of the initial boundary value problems for Schrodinger partial differential equation is provided. Additionally, some illustrative numerical results are presented.en_US
dc.description.sponsorshipRUDN University Program 5-100; Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan [BR05236656]en_US
dc.description.sponsorshipThe publication has been prepared with the support of the RUDN University Program 5-100 and published under target program BR05236656 of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan.en_US
dc.identifier.doi10.1515/cmam-2018-0107
dc.identifier.endpage38en_US
dc.identifier.issn1609-4840
dc.identifier.issn1609-9389
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85061726834en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage27en_US
dc.identifier.urihttps://doi.org/10.1515/cmam-2018-0107
dc.identifier.urihttps://hdl.handle.net/20.500.14551/23742
dc.identifier.volume20en_US
dc.identifier.wosWOS:000505607200002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofComputational Methods In Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSchrodinger Differential Equationsen_US
dc.subjectDifference Schemesen_US
dc.subjectStability Estimatesen_US
dc.subjectNumerical-Solutionen_US
dc.subjectNonlocal Problemsen_US
dc.subjectModelen_US
dc.titleOn the Stable Difference Schemes for the Schrodinger Equation with Time Delayen_US
dc.typeArticleen_US

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