A stable numerical method for multidimensional time fractional Schrodinger equations

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dc.authorid0000-0002-4153-6624
dc.authorid0000-0001-6797-246X
dc.contributor.authorHicdurmaz, Betul
dc.contributor.authorAshyralyev, Allaberen
dc.date.accessioned2025-05-10T19:48:47Z
dc.date.issued2016
dc.departmentİstanbul Medeniyet Üniversitesi
dc.description.abstractIn this paper, the stability analysis is presented for a first order difference scheme applied to a nonhomogeneous time fractional Schrodinger differential equation. Based on the z-transform method, stability theorems are proved for the abstract case. The stability results are applied on initial boundary value problems for multidimensional time fractional Schrodinger differential equations. Theoretical findings are validated by numerical experiments on one and two-dimensional time fractional Schrodinger differential equations. (C) 2016 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.camwa.2016.07.036
dc.identifier.endpage1713
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue6
dc.identifier.scopus2-s2.0-84994358612
dc.identifier.scopusqualityQ1
dc.identifier.startpage1703
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2016.07.036
dc.identifier.urihttps://hdl.handle.net/20.500.14730/11813
dc.identifier.volume72
dc.identifier.wosWOS:000384381800018
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250302
dc.subjectTime fractional Schrodinger equation
dc.subjectFinite difference scheme
dc.subjectStability
dc.subjectTwo-dimensional Schrodinger equation
dc.titleA stable numerical method for multidimensional time fractional Schrodinger equations
dc.typeArticle

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