We are concerned with the reconstruction of the heat sink coefficient in a one-dimensional heat equation from the observations of solutions at the same point. This direct method which is based on spectral estimation and asymptotics techniques provides a fast algorithm and also an alternative to the Gelfand-Levitan theory or minimization procedures.
H. Al Attas, A. Boumenir
. Reconstruction of a Heat Equation from One Point Observations[J]. Communications on Applied Mathematics and Computation, 2022
, 4(4)
: 1280
-1292
.
DOI: 10.1007/s42967-021-00174-x
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