WAVELET TRANSFORM EFFICIENCY ANALYSIS FOR POLYMERS

Abstract

Industrial composite materials consist of a large number of microstructural components with different characteristics, the combination of which determines the properties of the material as a whole. The processes used in composite materials are described by differential equations with rapidly oscillating coefficients. The numerical solution of these problems requires significant computational costs, since it involves the use of a small step computational grid. This led to the emergence of a new area of mathematical research, the purpose of which is to construct methods for mediating partial differential operators such that the resulting solutions of equations with average coefficients are close to the solutions of the original equations and ade- quately describe the behaviour of the composite. The effective characteristics of com- posite materials are determined experimentally or numerically.