The use of interval analysis methods in relation to the numerical solution of DAES with inaccurate parameters

This article is devoted to substantiating the relevance of the study and application of interval analysis methods for solving SODEs with fuzzy parameters. Nowadays, there is a need not only for calculating approximate solutions of various problems, but also for interval, which guaranteed contains solution, because of progress in such areas of science and technology as mechanics, heat engineering, mathematical chemistry, aircraft construction and etc. Moreover, there is a huge area of problems with fuzzy parameters. As an example of such problems, we can remember various ecological or economic models for which it is impossible to receive the accurate parameters. For such models, the problem could be solved by methods of statistical, stochastic or interval analysis. In this paper, methods of interval analysis are considered.