Homogeneous Difference Schemes for Time-Dependent Equations of Mathematical Physics with Variable Coefficients

One way of covering this for the heat conduction equation is to construct a homogeneous conservative scheme by means of the integro-interpolation method. To make our exposition more transparent, we may assume that the coefficient of heat conductivity k = k ( x ) is independent o f t . The general case k = k ( x , t ) will appear on this basis in Section 8 without any difficulties.