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dc.contributor.authorDamirch, Javaden_US
dc.contributor.authorJanmohammadi, Alien_US
dc.contributor.authorSadat Shahsahebi, Fahimehen_US
dc.date.accessioned2021-07-28T09:09:09Z
dc.date.available2021-07-28T09:09:09Z
dc.date.issued2021
dc.identifier.citationDamirch, J., Janmohammadi, A. & Sadat Shahsahebi, F. (2021). The method of fundamental solutions for the inverse time-dependent perfusion coefficient problem. TWMS Journal of Applied and Engineering Mathematics, 11(3), 751-761.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3194
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/735
dc.description.abstractThis paper deals with an inverse problem associated with the bio-heat equation in living tissue in the human body. The inverse problem consists of the identification of time-dependent perfusion coefficient when the exact and noisy measurements of temperature at a fixed space point x* are specified. The numerical method for the retrieval of the unknown perfusion coefficient is based on the method of fundamental solutions (MFS). By introducing the fundamental solution of the heat equation and theoretical properties of these solutions, the MFS is used in conjunction with the Tikhonov regularization method. The choice of the regularization parameter is based on L-curve criteria to obtain a stable solution. Our numerical approach for numerical differentiation of discrete noisy data is focused on the iterated Tikhonov method due to ill-posedness of problem. Numerical results show the efficiency and applicability of the proposed algorithm in approximation of unknown perfusion coefficient.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_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 parabolic problemen_US
dc.subjectIll-Posed problemen_US
dc.subjectRegularization methoden_US
dc.subjectThe MFS methoden_US
dc.titleThe method of fundamental solutions for the inverse time-dependent perfusion coefficient problemen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage751
dc.identifier.endpage761
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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