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
Thu Dec 18 2025
Journal Name
Mathematical Methods In The Applied Sciences
Time‐Dependent Term Identification in the Time–Space Fractional Derivative Diffusion Equation From Integral Over Specified Condition
ABSTRACT<p>
In this paper, a time–space fractional order inverse source problem to determine the temperature solution and the time‐dependent source term from heat moment to the time–space fractional heat equation with an initial condition, homogeneous Dirichlet boundary conditions, and integral overdetermination condition is investigated. Two unconditionally stable finite difference schemes are proposed to find a numerical solution of the direct problem. Namely, method I is based on the approximation of the time‐fractional derivative via Laplace transformation, whereas method II is based on finite difference approximation. The inverse problem is solved iteratively </p>
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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
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