@inproceedings{3cb63eed581f49c9a323945d8b2767bc,
title = "Reconstruction robin boundary condition in the heat conduction inverse problem of fractional order",
abstract = "This paper describes a parallel algorithm for reconstruction the boundary condition for the heat conduction equation with derivative of fractional order with respect to the time. The heat transfer coefficient, occurring in the boundary condition of the third kind, was reconstructed. Additional information for the considered inverse problem is given by the temperature measurements at selected points of the domain. The direct problem was solved by using the implicit finite difference method. To minimize functional defining the error of approximate solution parallel Ant Colony Optimization algorithm (ACO) was used. Calculations have been performed in parallel way (multi-threaded). The paper presents examples to illustrate the accuracy and stability of the presented algorithm.",
keywords = "Heat transfer coefficient, Identification, Inverse problem, Time fractional heat conduction equation",
author = "Rafa{\l} Brociek and Damian S{\l}ota and Adam Zielonka",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th Conference on Non-integer Order Calculus and Its Applications, RRNR 2016 ; Conference date: 20-09-2016 Through 21-09-2016",
year = "2017",
doi = "10.1007/978-3-319-45474-0\_14",
language = "English",
isbn = "9783319454733",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Verlag",
pages = "147--156",
editor = "Artur Babiarz and Adam Czornik and Jerzy Klamka and Micha{\l} Niezabitowski",
booktitle = "Theory and Applications of Non-integer Order Systems - 8th Conference on Non-integer Order Calculus and Its Applications",
address = "Germany",
}