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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 illāposed. Therefore, regularization is…
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Keywords:
parabolic equation;
term parabolic;
recovering source;
equation ... See more keywords
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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…
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Keywords:
inverse problem;
recovering source;
source special;
problem recovering ... See more keywords