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Browsing by Author "Tran Thanh Phong"

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    Recovering the Source Term for Parabolic Equation With Nonlocal Integral Condition
    (Wiley, 2021) Baleanu, Dumitru; Tran Thanh Phong; Le Dinh Long; Nguyen Duc Phuong
    The main purpose of this article is to present a Tikhonov method to construct the source function f(x) of the parabolic diffusion equation. This problem is well known to be severely ill-posed. Therefore, regularization is required. The error estimates between the sought solution and the regularized solution are obtained under an a priori parameter choice rule and an a posteriori parameter choice rule, respectively. One numerical test illustrates that the proposed method is feasible and effective.