The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to construct a stable solution depending on a small...

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Bibliographic Details
Published in:	Advances in nonlinear analysis Vol. 13; no. 1; pp. 32 - 36
Main Authors:	Selmani, Wissame, Boussetila, Nadjib, Kirane, Mokhtar, Alsulami, Hamed
Format:	Journal Article
Language:	English
Published:	De Gruyter 04.12.2024
Subjects:	35J25 35R11 35R25 35R30 47A52 fractional elliptic equations ill-posed problems quasi-boundary-value method regularization
ISSN:	2191-950X, 2191-950X
Online Access:	Get full text
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Summary:	In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to construct a stable solution depending on a small parameter . To justify the theoretical results obtained, we present a few numerical examples to demonstrate the accuracy of the approximate solution and the effectiveness of the method used in our investigation.
ISSN:	2191-950X 2191-950X
DOI:	10.1515/anona-2024-0036