TY - JOUR
TI - Reconstruction of the boundary condition for the heat conduction equation of fractional order
AU - Brociek Rafal
AU - Slota Damian
JN - Thermal Science
PY - 2015
VL - 19
IS - 11
SP - 35
EP - 42
PT - Article
AB - This paper describes reconstruction of the heat transfer coefficient  occurring in the boundary condition of the third kind for the time fractional  heat conduction equation. Fractional derivative with respect to time,  occurring in considered equation, is defined as the Caputo derivative.  Additional information for the considered inverse problem is given by the  temperature measurements at selected points of the domain. The direct problem  is solved by using the implicit finite difference method. To minimize  functional defining the error of approximate solution the Nelder-Mead  algorithm is used. The paper presents results of computational examples to  illustrate the accuracy and stability of the presented algorithm.