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DOI: 10.23671/VNC.2013.4.7345

The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity

Shkhanukov-Lafishev, M. H. , Lafisheva M. M. , Nakhusheva F. M. , Mambetova A. B.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 4.
Abstract:
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.
Keywords: the regional problem, the concentrated thermal capacity, the locally-one-dimensional schemes, convergence, an aprioristic estamation
Language: Russian Download the full text  
For citation: Shkhanukov-Lafishev M. H., Lafisheva M. M., Nakhusheva F. M., Mambetova A. B. The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 4, pp. 58-64. DOI 10.23671/VNC.2013.4.7345


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