Aleksandr Fyodorovich Gribov (Bauman Moscow State Technical University) :


517.956.4 On the numerical solution of the inverse problem of heat conduction with radiation

Gribov A. F. (Bauman Moscow State Technical University), Zhidkov E. N. (Bauman Moscow State Technical University), Krasnov I. K. (Bauman Moscow State Technical University)

doi: 10.18698/2309-3684-2019-1-4353

The inverse problem of restoring the thermal conductivity coefficient of a nonlinear parabolic equation by the final temperature distribution, which serves as a mathematical model for the problem of determining structural defects, is investigated. An algorithm for numerical solution of the problem is proposed. A numerical example is considered.

Грибов А.Ф., Жидков Е.Н., Краснов И.К. О численном решении обратной зада-чи теплопроводности с излучением. Математическое моделирование и численные методы, 2019, № 1, с. 43–53.