Reconstruction of a Heat Equation from One Point Observations
H. Al Attas , A. Boumenir
Communications on Applied Mathematics and Computation ›› 2022, Vol. 4 ›› Issue (4) : 1280 -1292.
Reconstruction of a Heat Equation from One Point Observations
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.
King Fahd University of Petroleum and Minerals(SB191035)
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