Geodesic
Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids
Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 51-60

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In this article, monotone difference schemes of second order of local approximation for quasilinear parabolic equation of sufficiently general form are constructed on non-uniform spatial grids. With the help of difference maximum principle, two-sided estimate and a priori estimate in uniform norm $C$ for solution of difference schemes, approximated this equation, are obtained. 
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     author = {Le Minh Hieu},
     title = {Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids},
     journal = {Trudy Instituta matematiki},
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     volume = {24},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/}
}
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Le Minh Hieu. Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids. Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 51-60. http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/