Identification of the time-dependent conductivity of an inhomogeneous diffusive material
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Publication Date
Wed Sep 21 2016
Journal Name
Applicable Analysis
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Publication Date
Thu Jan 01 2015
Journal Name
Finite Difference Methods,theory And Applications
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Publication Date
Fri Jan 01 2016
Journal Name
Applied Numerical Mathematics
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Publication Date
Wed Apr 01 2015
Journal Name
Mathematical Methods In The Applied Sciences
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Publication Date
Thu Jun 01 2023
Journal Name
Partial Differential Equations In Applied Mathematics
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Publication Date
Sat Mar 01 2014
Journal Name
Computers & Mathematics With Applications
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Publication Date
Mon May 01 2017
Journal Name
Applied Mathematics And Computation
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Publication Date
Fri Oct 14 2016
Journal Name
International Journal For Computational Methods In Engineering Science And Mechanics
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Publication Date
Sun Jan 01 2023
Journal Name
Advances In The Theory Of Nonlinear Analysis And Its Application
Publication Date
Thu Jul 01 2021
Journal Name
Iraqi Journal Of Science
Simultaneous Identification of Thermal Conductivity and Heat Source in the Heat Equation
Inverse problem
Heat equation
Heat flux
Tikhonov regularization
Nonlinear optimization
This paper presents a numerical solution to the inverse problem consisting of recovering time-dependent thermal conductivity and heat source coefficients in the one-dimensional parabolic heat equation. This mathematical formulation ensures that the inverse problem has a unique solution. However, the problem is still ill-posed since small errors in the input data lead to a drastic amount of errors in the output coefficients. The finite difference method with the Crank-Nicolson scheme is adopted as a direct solver of the problem in a fixed domain. The inverse problem is solved sub
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