An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement

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dc.authorid0000-0001-5365-6116en_US
dc.contributor.authorBrahim, Nouiri
dc.contributor.authorKhayra, Djerioui
dc.date.accessioned2024-07-12T20:49:07Z
dc.date.available2024-07-12T20:49:07Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis talk deals an inverse problem to determine a space-dependent coefficient in a one-dimensional time fractional diffusion-wave equation defined in heterogeneous medium with additional boundary measurement. We construct the finite difference scheme for the direct problem based on the equivalent partial integrodifferential equation. Under the weak smoothness conditions, we prove that our scheme is stable and convergent using the matrix analysis. Based on the least squares method with Tikhonov regularization is introduced to determine the space-dependent coefficient, and an inversion algorithm is performed by two numerical examples. This inversion algorithm is effective at least for this inverse problem.en_US
dc.identifier.citationBrahim, N. ve Khayra, D. (2019). An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement. International Conference of Mathematical Sciences (ICMS 2019). s. 138.en_US
dc.identifier.endpage139en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage138en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2121
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01484
dc.subjectInverse problemen_US
dc.subjectTime-fractional diffusion-wave equationen_US
dc.subjectDifference methoden_US
dc.titleAn inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurementen_US
dc.typeArticle
dspace.entity.typePublication

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