SOLUTION OF THE QUASI-LINEAR HEAT TRANSFER PROBLEM WITH PIECEWISE CONSTANT COEFFICIENTS

Abstract

In the article, the boundary value problem for second-order parabolic type equations, the approximation of differential schemes for the problem of non-stationary heat transfer and the maximum principle were studied. The flat approximation of the selected problem was checked. In calculus, we come across different differential equations, including different forms of partial differential equation, one of which is quasi-linear partial differential equation. Differential equations with partial derivatives of one or more dependent variables with several independent variables are called differential equations with partial coefficients.