Fractional Tikhonov method for inverse source bi-parabolic: A priori parameter choice rule

Authors

Le Dinh Long Faculty of Math, FPT University HCM, Saigon Hi-Tech Park, Thu Duc City, Ho Chi Minh City, Vietnam

Keywords:

ill-posed, regularization method, Tikhonov method, Fractional Tikhonov method

Abstract

In this work, the unknown source function for the bi-parabolic is investigated. This problem is non-well-posed. Applying a Fractional Tikhonov method to construct the regularized solution. After that, we have test the estimation \(\|f_\gamma^\delta - f\|_{L_2} \to 0\), then \(\delta \to 0\), under a priori rule.

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