Application of the self-similar interpolation method to problems of rarefied gas dynamics

The effectiveness of the method of self-similar interpolation [1]in its simplest version is demonstrated by solving problems of slow plane Couette and Poiseuille flows of a rarefied gas and the problem of the structure of a strong shock wave in a monatomic gas. Interpolations of the function with respect to its specified asymptotic representations of a different form at the ends of the interval in which the function is specified, usually semi-infinite, are obtained.