TY - JOUR
TI - Reconstruction of the thermal conductivity coefficient in the space fractional heat conduction equation
AU - Brociek Rafał
AU - Słota Damian
JN - Thermal Science
PY - 2017
VL - 21
IS - 1
SP - 81
EP - 88
PT - Article
AB - In this paper an inverse problem for the space fractional heat conduction  equation is investigated. Firstly, we describe the approximate solution of  the direct problem. Secondly, for the inverse problem part, we define the  functional illustrating the error of approximate solution. To recover the  thermal conductivity coefficient we need to minimize this functional. In  order to minimize this functional the Real Ant Colony Optimization (RealACO)  algorithm is used. In the model we apply the Riemann-Liouville fractional  derivative. The paper presents also some examples to illustrate the accuracy  and stability of the presented algorithm.