| Реферат: | eng: Zn this paper we carry out a formalized construction of compact difference schemes of fourth-order accuracy in space for multidimensional systems of differential second-order equations of the main types (elliptic, parabolic, and hyperbolic ones). They have variable coefficients, which depend on the sought solution, an arbitrary elliptic operator without mixed derivatives, and convective terms in divergent or nondivergent form. The error of approximation in time is of the second order for a parabolic system and of the fourth order for a hyperbolic one. We also study the general form of the initial elementary difference approximations of dissipative terms suitable for constructions of this kind.
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