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A note on the numerical solution of the semilinear Schrodinger equation

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorSirma, Ali
dc.contributor.institutionBahcesehir University
dc.contributor.institutionFatih University
dc.date.accessioned2025-10-09T10:51:07Z
dc.date.issued2009
dc.description.abstractThe unique solvability of local and nonlocal boundary value problems for the semilinear Schrodinger equation in a Hilbert space is investigated. The convergence estimates for the solution of difference schemes are established. Some numerical examples illustrating the methods described in our work are given. Applicability of these methods to nonlinear Schrodinger equation is discussed. (C) 2009 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.na.2009.05.048
dc.identifier.endpageE2516
dc.identifier.issn0362-546X
dc.identifier.issn1873-5215
dc.identifier.issue12
dc.identifier.startpageE2507
dc.identifier.urihttp://dx.doi.org/10.1016/j.na.2009.05.048
dc.identifier.urihttps://hdl.handle.net/20.500.14719/15400
dc.identifier.volume71
dc.identifier.wosWOS:000277952800173
dc.identifier.woscitationindexScience Citation Index Expanded (SCI-EXPANDED)
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.sourceNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
dc.subject.indexkeywordsFINITE-DIFFERENCE METHOD
dc.subject.indexkeywordsTIME-NONLOCAL PROBLEMS
dc.subject.indexkeywordsPARABOLIC EQUATIONS
dc.subject.indexkeywordsSCHEMES
dc.subject.indexkeywordsSPACES
dc.subject.wosMathematics, Applied
dc.subject.wosMathematics
dc.titleA note on the numerical solution of the semilinear Schrodinger equation
dc.typeArticle
dspace.entity.typePublication
local.indexed.atWOS
person.identifier.orcidSIRMA, Ali/0000-0001-6114-2422
person.identifier.orcidAshyralyev, Allaberen/0000-0003-1552-0618
person.identifier.orcidAshyralyev, Allaberen/0000-0002-4153-6624
person.identifier.ridSirma, Ali/ABE-8507-2020
person.identifier.ridAshyralyev, Allaberen/K-4377-2017

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