Geodesic
Blow-up in difference schemes that approximate Neumann problems for nonlinear parabolic equations
Trudy Instituta matematiki, Tome 32 (2024) no. 2, pp. 43-55.

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In this paper, based on the discrete analogue of comparison theorems and Jensen's inequality, blow-up conditions and upper bound of blow-up time of the solution of implicit finite-different problem which approximates Neumann problems for various nonlinear parabolic equations are obtained. Blow-up conditions and upper bound of blow-up time of approximated differential problems are given, which are obtained and based on comparison theorems and Jensen's inequality.
Keywords: comparison theorems, blow-up, discrete analogue of comparison theorems, nonlinear parabolic equations. 
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D. A. Schadinskii. Blow-up in difference schemes that approximate Neumann problems for nonlinear parabolic equations. Trudy Instituta matematiki, Tome 32 (2024) no. 2, pp. 43-55. http://geodesic.mathdoc.fr/item/TIMB_2024_32_2_a3/

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