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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Veröffentlicht in:Advances in nonlinear analysis Jg. 13; H. 1; S. 32 - 36
Hauptverfasser: Selmani, Wissame, Boussetila, Nadjib, Kirane, Mokhtar, Alsulami, Hamed
Format: Journal Article
Sprache:Englisch
Veröffentlicht: De Gruyter 04.12.2024
Schlagworte:
35J25
35R11
35R25
35R30
47A52
fractional elliptic equations
ill-posed problems
quasi-boundary-value method
regularization
ISSN:2191-950X, 2191-950X
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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