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

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Besma K., Nadjib B., Faouzia R.

Open Mathematics

2017

tom 15

nr 1

1649-1666

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.

Ograniczanie wyników

1 Open Mathematics

1 Besma K.

1 Faouzia R.

1 Nadjib B.

1 2017

Wyniki wyszukiwania

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