Mathematical modeling of non-isothermal moisture transfer and visco-elastic deformation in the materials with fractal structure

Abstract

Two-dimensional mathematical model of non-isothermal moisture transfer and viscoelastic deformation in the environments with fractal structure considering the effects of memory and spatial correlation are synthesized. Explicit and implicit difference schemes for related equations of heat and mass transfer in two-dimensional domain with boundary conditions of the third kind are built. The algorithmic aspects for implementation of obtained difference equations with the use of predictor-corrector method are presented and the conditions of stability of these difference schemes are analyzed.