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Title
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A mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order
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Type
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JournalPaper
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Keywords
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heat conduction equation, Caputo's derivative, ill-posedness, mollification, finite difference
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Abstract
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We consider an inverse problem of time fractional heat conduction problem. It is shown that the problem is ill-posed. A method is investigated based on the finite difference to find heat distribution and boundary values. The discrete mollification regularisation is applied to obtain a stable numerical solution. Finally, some test problems are investigated to show the ability of the proposed scheme.
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Researchers
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ُSeddighe Banihashemi (Second Researcher), Afshin Babaei (First Researcher)
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