fractional-differential apparatus

The study of heat transfer and stress-strain state of a material, taking into account its fractal structure

In the work, on the basis of the apparatus of fractional integro-differentiation, the mathematical models of heat-and-moisture transfer and of deformation-relaxation processes in the medium with "memory" effects and self-organization are constructed.  Numerical implementation of the mathematical models of heat-transfer and moisture-transfer is based on the adaptation of the predictor-corrector method.  That is why the mathematical models obtained in this work are in a finite-difference form.  For the explicit difference scheme, the stability conditions are determined on the basis of the met