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Regularized solution for nonlinear elliptic equations with random discrete data

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dc.contributor.author Phuong, Nguyen Duc
dc.contributor.author Tuan, Nguyen Huy
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Luc, Nguyen Hoang
dc.date.accessioned 2020-02-12T07:11:42Z
dc.date.available 2020-02-12T07:11:42Z
dc.date.issued 2019-12
dc.identifier.citation Nguyen Duc Phuong; Nguyen Huy Tuan...et al. (2019). "Regularized solution for nonlinear elliptic equations with random discrete data", Mathematical Methods in the Applied Sciences, Vol. 42, No. 18, pp. 6829-6848. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/2416
dc.description.abstract The aim of this paper is to study the Cauchy problem of determining a solution of nonlinear elliptic equations with random discrete data. A study showing that this problem is severely ill posed in the sense of Hadamard, ie, the solution does not depend continuously on the initial data. It is therefore necessary to regularize the in-stable solution of the problem. First, we use the trigonometric of nonparametric regression associated with the truncation method in order to offer the regularized solution. Then, under some presumption on the true solution, we give errors estimates and convergence rate in L-2-norm. A numerical example is also constructed to illustrate the main results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.5789 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Ill-Posed Problem tr_TR
dc.subject Nonlinear Elliptic tr_TR
dc.subject Random Noise tr_TR
dc.subject Regularized Solution tr_TR
dc.title Regularized solution for nonlinear elliptic equations with random discrete data 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 42 tr_TR
dc.identifier.issue 18 tr_TR
dc.identifier.startpage 6829 tr_TR
dc.identifier.endpage 6848 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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