Geodesic
Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 253-264

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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.
Mots-clés : error estimation, Fourier series transformation
Keywords: modulus of conditional correctness, ill-posed problem. 
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     author = {A. I. Sidikova and A. S. Sushkov},
     title = {Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {253--264},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a6/}
}
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A. I. Sidikova; A. S. Sushkov. Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 253-264. http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a6/