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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 3, Pages 297–312
DOI: https://doi.org/10.15372/SJNM20170306 (Mi sjvm653) 		 
A difference scheme for a conjugate-operator model of the heat conduction problem in the polar coordinates

S. B. Sorokinab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20170306
Abstract: In the polar coordinates, a discrete analog of the conjugate-operator model of the heat conduction problem preserves the structure of the original model. The difference scheme converges with the second order of accuracy for the cases of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model in the case when the thermal conductivity tensor is a single operator.
Key words: problem of heat conductivity, mathematical model, discrete analog, polar coordinates, convergence, difference scheme.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 26.01.2017
Revised: 04.04.2017
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 3, Pages 244–258
DOI: https://doi.org/10.1134/S1995423917030065
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “A difference scheme for a conjugate-operator model of the heat conduction problem in the polar coordinates”, Sib. Zh. Vychisl. Mat., 20:3 (2017), 297–312; Num. Anal. Appl., 10:3 (2017), 244–258
Citation in format AMSBIB
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