This article is cited in 1 paper

Сходимость сеточно-интерполяционных аппроксимаций решения квазилинейной параболической краевой задачи на отрезке

I. A. Chernov

Institute of Applied Mathematical Research, Karelian Research Centre, RAS, Petrozavodsk

Abstract: We consider the one-dimensional quazi-linear parabolic Neumann boundary value problem: coeffcients of the partial differential equation and right-hand sides of the boundary conditions depend on time, point, and the history of the solution. Convergence of difference approximations to a weak solution to the problem is proved.

UDC: 517.954

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