Geodesic
The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 58-64

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The work is devoted to locally-one-dimensional schemes for the equation of heat conductivity with a non-stationary boundary condition which imitate a concentrated thermal capacity placed on domain boundary. A priori estimate in the uniform metrics is obtained and the convergence of the constructed scheme on a cubic net is proved. 
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     title = {The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/}
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M. Kh. Shkhanukov; M. M. Lafisheva; F. M. Nakhusheva; A. B. Mambetova. The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 58-64. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/