N2 - Inverse boundary problem for cylindrical geometry and unsteady heat
conduction equation was solved in this paper. This solution was presented
in a convolution form. Integration of the convolution was made assuming
the distribution of temperature T on the integration interval (ti, ti+ Δt)
in the form T (x, t) = T (x, ti) Θ + T (z, ti+ Δt) (1 - Θ), where Θ ϵ
(0,1). The influence of value of the parameter Θ on the sensitivity of the
solution to the inverse problem was analysed. The sensitivity of the
solution was examined using the SVD decomposition of the matrix A of the
inverse problem and by analysing its singular values. An influence of the
thermocouple installation error and stochastic error of temperature
measurement as well as the parameter Θ on the error of temperature
distribution on the edge of the cylinder was examined.
JO - Archives of Thermodynamics
L1 - http://sd.czasopisma.pan.pl/Content/94656/mainfile.pdf
L2 - http://sd.czasopisma.pan.pl/Content/94656
IS - No 3 September
EP - 280
KW - inverse problem
KW - sensitivity of solution
KW - heat conduction
ER -
A1 - Joachimiak, M.
A1 - CiaĆkowski, M.
PB - The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences
JF - Archives of Thermodynamics
SP - 265
T1 - Optimal choice of integral parameter in a process of solving the inverse problem for heat equation
UR - http://sd.czasopisma.pan.pl/dlibra/docmetadata?id=94656