Filter regularization for an inverse parabolic problem in several variables

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dc.contributor.authorTuan, Nguyen Huy
dc.contributor.authorKirane, Mokhtar
dc.contributor.authorLong, Le Dinh
dc.contributor.authorNguyen, Thinh Van
dc.date.accessioned2023-05-31T13:12:35Z
dc.date.available2023-05-31T13:12:35Z
dc.date.issued2016-01-15
dc.description.abstractThe backward heat problem is known to be ill possed, which has lead to the design of several regularization methods. In this article we apply the method of filtering out the high frequencies from the data for a parabolic equation. First we identify two properties that if satisfied they imply the convergence of the approximate solution to the exact solution. Then we provide examples of filters that satisfy the two properties, and error estimates for their approximate solutions. We also provide numerical experiments to illustrate our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTuan, N. H., Kirane, M., Le, L. D., & Nguyen, T. V. (2016). Filter regularization for an inverse parabolic problem in several variables. <i>Electronic Journal of Differential Equations, 2016</i>(24), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16897
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectIll-posed problem
dc.subjectTruncation method
dc.subjectHeat equation
dc.subjectRegularization
dc.titleFilter regularization for an inverse parabolic problem in several variables
dc.typeArticle

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