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Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative

Authors: 

Vu Ho, Donal O’Regan, Hoa Ngo Van

Source title: 
Complexity, 2020: 4143930, 2020 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed. A new method on the modified integral equation based on two regularization parameters is proposed to regularize this problem. Numerical results are presented to illustrate the efficiency of the proposed method.