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Matematicheskoe modelirovanie, 2001, Volume 13, Number 12, Pages 46–54 (Mi mm816)  
Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation

V. A. Galkin, M. A. Zaboudko

Obninsk Institute for Nuclear Power Engineering
Full-text PDF (792 kB)
Abstract: Methods of solution of nonlinear thermal conductivity and kinetic equations are considered for crystallization simulation. Some exact solutions for Stefan problem are obtained. Numerical regularization is made on the base of Galerkin method. Convergence problems are investigated.
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Language: Russian
Citation: V. A. Galkin, M. A. Zaboudko, “Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation”, Mat. Model., 13:12 (2001), 46–54
Citation in format AMSBIB
\Bibitem{GalZab01}
\by V.~A.~Galkin, M.~A.~Zaboudko
\paper Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation
\jour Mat. Model.
\yr 2001
\vol 13
\issue 12
\pages 46--54
\mathnet{http://mi.mathnet.ru/mm816}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1904032}
\zmath{https://zbmath.org/?q=an:1026.80003}
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