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Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements

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dc.contributor.author Triet, Nguyen Anh
dc.contributor.author Binh, Tran Thanh
dc.contributor.author Phuong, Nguyen Duc
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Can, Nguyen Huu
dc.date.accessioned 2022-12-07T12:03:19Z
dc.date.available 2022-12-07T12:03:19Z
dc.date.issued 2021-04
dc.identifier.citation Triet, Nguyen Anh...et al. (2021). "Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements", Mathematical Methods in the Applied Sciences, Vol. 44, No. 6, pp. 5188-5209. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/5961
dc.description.abstract In this work, we study the final value problem for a system of parabolic diffusion equations. In which, the final value functions are derived from a random model. This problem is severely ill-posed in the sense of Hadamard. By nonparametric estimation and truncation methods, we offer a new regularized solution. We also investigate an estimate of the error and a convergence rate between a mild solution and its regularized solutions. Finally, some numerical experiments are constructed to confirm the efficiency of the proposed method. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7102 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Ill-Posed Problem tr_TR
dc.subject Nonlocal Diffusion tr_TR
dc.subject Random Noise tr_TR
dc.subject Regularized Solution tr_TR
dc.title Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 44 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 5188 tr_TR
dc.identifier.endpage 5209 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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