scholarly journals Two-parameter regularization method for an axisymmetric inverse heat problem

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Ngo Van Hoa ◽  
Tra Quoc Khanh
Keyword(s):  
Regularization Method ◽  
Heat Problem ◽  
Parameter Regularization ◽  
Two Parameter ◽  
Inverse Heat Problem

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

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Vu Ho ◽  
Donal O’Regan ◽  
Hoa Ngo Van
Keyword(s):  
Integral Equation ◽  
Regularization Method ◽  
Time Variable ◽  
Conformable Derivative ◽  
Heat Problem ◽  
Regularization Parameters ◽  
Ill Posed ◽  
Parameter Regularization ◽  
Two Parameter ◽  
Backward Heat Problem

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.

Multi-parameter regularization method for atmospheric remote sensing

2005 ◽  
Vol 165 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Adrian Doicu ◽  
Franz Schreier ◽  
Siegfried Hilgers ◽  
Michael Hess
Keyword(s):  
Remote Sensing ◽  
Regularization Method ◽  
Atmospheric Remote Sensing ◽  
Parameter Regularization

A Dual-Parameter Regularization Method for Electrical Conductivity Imaging

2011 ◽  
Vol 54 (6) ◽  
pp. 864-869
Author(s):  
Wen-Juan WANG ◽  
Farmer CHRIS ◽  
Ockendon JOHN ◽  
Bao-Bin FENG ◽  
Jun-Xing CAO ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Regularization Method ◽  
Conductivity Imaging ◽  
Parameter Regularization

scholarly journals On an initial inverse problem for a diffusion equation with a conformable derivative

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Tran Thanh Binh ◽  
Nguyen Hoang Luc ◽  
Donal O’Regan ◽  
Nguyen H. Can
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Regularization Method ◽  
Conformable Derivative ◽  
Parameter Choice ◽  
Backward Problem ◽  
Ill Posed ◽  
Two Parameter ◽  
Parameter Choice Rules ◽  
Regularized Solution

AbstractIn this paper, we consider the initial inverse problem for a diffusion equation with a conformable derivative in a general bounded domain. We show that the backward problem is ill-posed, and we propose a regularizing scheme using a fractional Landweber regularization method. We also present error estimates between the regularized solution and the exact solution using two parameter choice rules.

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