Abstract
In this paper procedure for solving inverse heat conduction problem with fractional derivative is presented. Authors present time fractional heat conduction model with Caputo derivative and Neumann, Robin boundary conditions, which can be applied to describe process of heat conduction in porous media. Based on temperature measurements, functional describing error of approximate solution is created. Considered inverse problem is transform to find minimum of created functional. In order to solve inverse problem (find unknown parameters of model) authors applied an Ant Colony Optimization (ACO) algorithm. Finally, experiment with data from porous aluminum was carried out to check effectiveness of proposed algorithm. Goal of this paper is reconstruction unknown parameters in heat conduction model with fractional derivative and show that ACO is effective algorithm and works well in these type of problems.
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Brociek, R., Słota, D., Król, M., Matula, G., Kwaśny, W. (2018). Application of an Ant Colony Optimization Algorithm in Modeling the Heat Transfer in Porous Aluminum. In: Damaševičius, R., Vasiljevienė, G. (eds) Information and Software Technologies. ICIST 2018. Communications in Computer and Information Science, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-319-99972-2_30
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