Geodesic
Stability of an explicit method for one quasilinear parabolic equation
Trudy Instituta matematiki, Tome 18 (2010) no. 2, pp. 115-124

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Stability of an explicit difference scheme for initial boundary value problem for quasilinear parabolic equation has been investigated. For some types of nonlinear diffusion coefficient the restrictions on the input data (initial and boundary conditions, the right-hand side) have been obtained under which the scheme is stable. 
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     author = {R. M. Yakubuk},
     title = {Stability of an explicit method for one quasilinear parabolic equation},
     journal = {Trudy Instituta matematiki},
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     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2010_18_2_a10/}
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R. M. Yakubuk. Stability of an explicit method for one quasilinear parabolic equation. Trudy Instituta matematiki, Tome 18 (2010) no. 2, pp. 115-124. http://geodesic.mathdoc.fr/item/TIMB_2010_18_2_a10/