An Investigation of One Way of Constructing of Artificial Boundary Conditions (Parts I-2)

One way of numerical constructing of artificial boundary conditions (ABC) by means of difference potential method is considered. This way was proposed by V.S.Ryaben'kii and S.V.Tsynkov for ABC construction in flow problems and had its base in a periodic auxiliary problem with a small parameter. An analysis and justification of the way on a model problem is suggested in this paper. The analysis is made in terms of a differential problem and is aimed at further application of numerical methods. The text as a whole is subdivided into two pieces, whereas common sections, formulae and theorems enumeration is used. Bibliography to the both parts is placed in the end of part II.