A modified quasi-boundary value method for an abstract ill-posed biparabolic problem

• Autorzy: Khelili Besma , Boussetila Nadjib , Rebbani Faouzia
• Języki publikacji: EN

Abstrakty

EN

In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution. Moreover, numerical tests are presented to illustrate the accuracy and efficiency of this method.

Słowa kluczowe

EN

Ill-posed problems; Biparabolic problem; Regularization

Kategorie tematyczne

• 47A52: Ill-posed problems, regularization
• 65J22: Inverse problems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1649-1666

Daty

wydano

2017-01-01

otrzymano

2017-08-29

zaakceptowano

2017-11-16

online

2017-12-29

Twórcy

autor

Khelili Besma

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autor

Boussetila Nadjib

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autor

Rebbani Faouzia

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Identyfikatory

DOI

10.1515/math-2017-0140