Geodesic
Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation
Matematičeskoe modelirovanie, Tome 13 (2001) no. 12, pp. 46-54.

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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. 
@article{MM_2001_13_12_a5,
     author = {V. A. Galkin and M. A. Zaboudko},
     title = {Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {46--54},
     publisher = {mathdoc},
     volume = {13},
     number = {12},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_12_a5/}
}
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V. A. Galkin; M. A. Zaboudko. Exact and numerical solutions of nonlinear thermal conductivity and kinetic equations for crystallization simulation. Matematičeskoe modelirovanie, Tome 13 (2001) no. 12, pp. 46-54. http://geodesic.mathdoc.fr/item/MM_2001_13_12_a5/