Articles with "recovering source" as a keyword



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Recovering the source term for parabolic equation with nonlocal integral condition

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Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7331

Abstract: The main purpose of this article is to present a Tikhonov method to construct the source function f(x) of the parabolic diffusion equation. This problem is well known to be severely illā€posed. Therefore, regularization is… read more here.

Keywords: parabolic equation; term parabolic; recovering source; equation ... See more keywords
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On the Numerical Solution to an Inverse Problem of Recovering a Source of Special Type in a Parabolic Equation

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Published in 2020 at "Cybernetics and Systems Analysis"

DOI: 10.1007/s10559-020-00278-x

Abstract: We consider an inverse problem of recovering a source of special type in a parabolic equation under initial and boundary conditions. The specificity of the problem is that the identifiable parameters depend only on a… read more here.

Keywords: inverse problem; recovering source; source special; problem recovering ... See more keywords