Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod

A.I. Sidikova, A.S. Sushkov
2021 Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki  
The article is devoted to solving an inverse boundary value problem for a rod consisting of composite materials. In the inverse problem, it is required, using information about the temperature of the heat flow in the media section, to determine the temperature at one of the ends of the rod. The paper presents a method of projection regularization, which made it possible to approximately estimate the error of the obtained solution to the inverse problem. To check the computational efficiency of this method, test calculations were carried out.
doi:10.35634/vm210207 fatcat:m5p2bv3kkzbyhe22ggsqi2rv7u