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Title
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A stable numerical scheme for a time fractional inverse parabolic equation
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Type
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JournalPaper
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Keywords
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Caputo fractional derivatives, time fractional inverse problem, finite differences, Tikhonov regularization method, discrepancy principle
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Abstract
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In this paper, we consider a time fractional inverse heat conduction problem of finding the temperature distribution and the heat flux on the boundaryx=0, when the time fractional derivative is interpreted in the sense of Caputo. We prove that this problem is an ill-posed problem. For finding a stable solution, the Tikhonov regularization technique is applied. A finite difference scheme is considered by using the given temperature at a pointx =x ∗ ,0
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Researchers
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Alireza Mohammadpour (Third Researcher), Ali Taghavi (First Researcher), Afshin Babaei (Second Researcher)
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