"The source control in the problem of heat conduction"
Morozov V.A., Lezhnev V.G., Tokarev N.M.

For the heat conduction equation, a boundary value problem that consists in determining the density of volume sources which provides a prescribed final (T > 0) temperature distribution is considered. The correctness of the problem is proved, a convergent algorithm is constructed, and an algorithm for solving the inverse problem of heat conduction is proposed. The work was performed in the framework of the target program (project 2.1.1/1292) and was supported by the Russian Foundation for Basic Research (projects 11–01–96511a and 13–01–00096a).

Keywords: heat conduction, boundary value problems, inverse problem of heat conduction, control of distributed parameters

Morozov V.A., e-mail: morozov@srcc.msu.ru; – Research Computing Center, Lomonosov Moscow State University; Leninskiye Gory, Moscow, 119991, Russia
Lezhnev V.G., e-mail: lzhnvv@mail.ru;   Tokarev N.M., e-mail: nikitatok@gmail.com – Kuban State University, Faculty of Mathematics and Computer Sciences; ulitsa Stavropolskaya Street 149, Krasnodar, 350040, Russia