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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2013/v14r110.html
Дата изменения: Tue Jan 28 16:23:27 2014 Дата индексирования: Fri Feb 28 00:29:09 2014 Кодировка: IBM-866 |
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"The source control in the problem of heat conduction" Morozov V.A., Lezhnev V.G., Tokarev N.M. |
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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 11тАУ01тАУ96511a and 13тАУ01тАУ00096a). Keywords: heat conduction, boundary value problems, inverse problem of heat conduction, control of distributed parameters |
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Morozov V.A., e-mail: morozov@srcc.msu.ru;
тАУ 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 тАУ Kuban State University, Faculty of Mathematics and Computer Sciences; ulitsa Stavropolskaya Street 149, Krasnodar, 350040, Russia |