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dc.contributor.authorPourgholi, Rezaen_US
dc.contributor.authorFoadian, Saedehen_US
dc.contributor.authorEsfahani, Aminen_US
dc.date.accessioned2020-09-29T06:32:07Z
dc.date.available2020-09-29T06:32:07Z
dc.date.issued2013
dc.identifier.citationPourgholi, R., Foadian, S. & Esfahani, A. (2013). Haar basis method to solve some inverse problems for two-dimensional parabolic and hyperbolic equations. TWMS Journal Of Applied And Engineering Mathematics, 3(1), 10-32.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/2484
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/83-vol3no1/125
dc.description.abstractA numerical method consists of combining Haar basis method and Tikhonov regularization method. We apply the method to solve some inverse problems for twodimensional parabolic and hyperbolic equations using noisy data. In this paper, a stable numerical solution of these problems is presented. This method uses a sensor located at a point inside the body and measures the u(x; y; t) at a point x = a; 0 < a < 1. We also show that the rate of convergence of the method is as exponential. Numerical results show that a good estimation on the unknown functions of the inverse problems can be obtained within a couple of minutes CPU time at Pentium IV-2.53 GHz PC.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectInverse problemsen_US
dc.subjectHaar basis methoden_US
dc.subjectError analysisen_US
dc.subjectTikhonov regularization methoden_US
dc.subjectNoisy dataen_US
dc.titleHaar basis method to solve some inverse problems for two-dimensional parabolic and hyperbolic equationsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume3
dc.identifier.issue1
dc.identifier.startpage10
dc.identifier.endpage32
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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