Inverse Sturm-Liouville problems with pseudospectral methods

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dc.authoridTaseli, Hasan / 0000-0003-2143-0969
dc.authoridBockmann, Christine / 0000-0003-4849-2705
dc.authoridAltundag, Huseyin / 0000-0002-3206-838X
dc.authorwosidTaseli, Hasan / AAZ-8905-2020
dc.authorwosidAltundag, Huseyin / AAK-1215-2021
dc.authorwosidBockmann, Christine / L-3553-2017
dc.contributor.authorAltundag, H.
dc.contributor.authorBoeckmann, C.
dc.contributor.authorTaseli, H.
dc.date.accessioned2021-11-01T14:58:15Z
dc.date.available2021-11-01T14:58:15Z
dc.date.issued2015
dc.department[Belirlenecek]
dc.description.abstractIn this paper a technique to obtain a first approximation for singular inverse Sturm-Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain (-infinity, infinity), is treated by considering numerically the asymptotic limit of the associated problem on a finite interval (-L, L). In spite of this treatment, the problem has still an ill-conditioned structure unlike the classical regular ones and needs regularization techniques. Direct computation of eigenvalues in iterative solution procedure is made by means of pseudospectral methods. A fairly detailed description of the numerical algorithm and its applications to specific examples are presented to illustrate the accuracy and convergence behaviour of the proposed approach.
dc.description.sponsorshipTUBITAK, the Scientific and Technical Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)en_US
dc.description.sponsorshipThis research was supported by a grant from TUBITAK, the Scientific and Technical Research Council of Turkey.en_US
dc.identifier.doi10.1080/00207160.2014.939646
dc.identifier.endpage1384en_US
dc.identifier.issn0020-7160
dc.identifier.issn1029-0265
dc.identifier.issue7en_US
dc.identifier.startpage1373en_US
dc.identifier.urihttps://doi.org/10.1080/00207160.2014.939646
dc.identifier.urihttps://hdl.handle.net/11491/6553
dc.identifier.volume92en_US
dc.identifier.wosWOS:000352953800005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthor[Belirlenecek]
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofInternational Journal Of Computer Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subject31A25en_US
dc.subject65F18en_US
dc.subjectregularization methoden_US
dc.subjectcondition numberen_US
dc.subjectpseudospectral methoden_US
dc.subjectregular and singular inverse Sturm-Liouville problemsen_US
dc.titleInverse Sturm-Liouville problems with pseudospectral methods
dc.typeArticle

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