Geodesic
Computational identification of the boundary condition in the heat transfer problems
Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 63-74 Cet article a éte moissonné depuis la source Math-Net.Ru

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The inverse boundary-value problems of heat transfer are of great practical importance, and the work of many authors is devoted to the numerical methods of their solution. We consider a direct method for solving inverse boundary-value problems for a one-dimensional parabolic equation that decomposes a finite-difference analogue of the problem at each time layer. With the help of the proposed numerical solution, we solve the inverse boundary-value problems with a fixed boundary, with a moving boundary, and the Stefan problem. The results of numerical calculations are discussed.
Keywords: inverse boundary problem, inverse Stefan problem, finite difference method, marching method. 
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     title = {Computational identification of the boundary condition in the heat transfer problems},
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A. M. Efimova. Computational identification of the boundary condition in the heat transfer problems. Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 63-74. http://geodesic.mathdoc.fr/item/SVFU_2017_24_2_a4/

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