Dejneka I. Mathematical Models and Computation Methods of Analysis of Multicomponent Pseudoparabolic System

The thesis devotes to elaboration of theoretical basis of creation effective problem-oriented program algorithmic means of numerical analysis of liquid's movement in fracture-pored soil environments, that contain thin streaks which substantially influences for evolution this processes. To decision this problem, new mathematical models are created as a quantity of initial boundary-value problems for pseudoparabolic and elliptic pseudoparabolic equations with conjugation conditions of non-ideal contact (with discontinuous decisions). Corresponding classical generalized solutions which specified in the class of discontinuous functions are obtained. Computation algorithms with a higher accuracy order to find approximate generalized solutions are created. Estimates are obtained for errors of approximate generalized solutions, made by the finite-element method, and also estimates for errors of approximate solutions derived by the difference Krank-Nicholson scheme and discontinuous functions. Computational experiments which results confirm effectiveness such algorithms are carried out.