2017
Том 69
№ 6

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Nonlinear nonlocal problems for a parabolic equation in a two-dimensional domain

Berezovsky A. A., Mitropolskiy Yu. A., Shkhanukov-Lafishev M. Kh.

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Abstract

We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges in the small.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 2, pp 269-280.

Citation Example: Berezovsky A. A., Mitropolskiy Yu. A., Shkhanukov-Lafishev M. Kh. Nonlinear nonlocal problems for a parabolic equation in a two-dimensional domain // Ukr. Mat. Zh. - 1997. - 49, № 2. - pp. 244–254.

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