N2 - Main goal of the paper is to present the algorithm serving to solve the heat conduction inverse problem. Authors consider the heat conduction equation with the Riemann-Liouville fractional derivative and with the second and third kind boundary conditions. This type of model with fractional derivative can be used for modelling the heat conduction in porous media. Authors deal with the heat conduction inverse problem, which, in this case, consists in identifying an unknown thermal conductivity coefficient. Measurements of temperature, in selected point of the region, are the input data for investigated inverse problem. Basing on this information, a functional describing the error of approximate solution is created. Minimizing of this functional is necessary to solve the inverse problem. In the presented approach the Ant Colony Optimization (ACO) algorithm is used for minimization.
L1 - http://sd.czasopisma.pan.pl/Content/110935/PDF/AFE+3_2019_07.pdf
L2 - http://sd.czasopisma.pan.pl/Content/110935
PY - 2019
IS - No 3
EP - 38-42
KW - inverse problem
KW - Heat conduction equation
KW - fractional derivative
KW - thermal conductivity
A1 - Brociek, R.
A1 - SÅ‚ota, D.
PB - The Katowice Branch of the Polish Academy of Sciences
VL - vol. 19
SP - 38-42
T1 - Identification of the Thermal Conductivity Coefficient in the Heat Conduction Model with Fractional Derivative
DA - 2019.06.27
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/110935
T2 - Archives of Foundry Engineering
DOI - 10.24425/afe.2019.127136