Geodesic
Justification of a~discrete analog of the conjugate-operator model of the heat conduction problem
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 98-110

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For the conjugate-operator model of the heat conduction problem, we construct and justify a discrete analog preserving the structure of the initial model. The justification of convergence is carried out for a difference scheme in the conjugate-operator form. It is shown that the difference scheme converges with second-order accuracy for the cases of discontinuous medium parameters in the Fourier law and nonuniform grids.
Keywords: heat conductivity problem, mathematical model, discrete analog, approximation, stability, difference scheme.
Mots-clés : convergence 
@article{SJIM_2014_17_4_a9,
     author = {S. B. Sorokin},
     title = {Justification of a~discrete analog of the conjugate-operator model of the heat conduction problem},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {98--110},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a9/}
}
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S. B. Sorokin. Justification of a~discrete analog of the conjugate-operator model of the heat conduction problem. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 98-110. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a9/