Mathematical Modelling of Non-Isothermal Moisture Transfer and Rheological Behavior in Cappilary-Porous Materials with Fractal Structure During Drying

The mathematical model of the distribution of deformation-relaxation and heat-mass fields in capillary-porous materials with fractal structure in the process of drying wood is regarded in the article. We used differential equations in partial derivatives of fractional order in description of this model. To describe the creep of wood fractional exponential Rabotnov’s function was used. The numerical solution of the problem for different values of the fractional derivative was obtained by difference method. The comparative characterezation beetwen the use of mathematical tools of differential equations of fractional order and traditional methods for finding the numerical solution of this problem was conducted.