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

Authors: Donal O'Regan, Ngô Văn Hòa, Ho Vu (Vu Ho), Donal O’Regan,

https://doi.org/10.1155/2020/4143930

Publisher, magazine: ,

Publication year: 2020

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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.

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