The method of basis operators for creating of difference scemes

The method of basis operators for creating of formalized system of difference operations of vector and tensor analysis is described. The method is adopted for any order of approximation for orthogonal curve-like coordinate system with axial or plane structure in three-dimentional space. This system of difference operations is based on self-compatible difference derivatives upon curvelike coordinates and on formulae of averaging of grid functions. The totally conservative differential-difference scheme that approximate non-stational 3-dimensional equations of continious medium mechanics in any orthogonal coordinate system is created.