System of nonlinear differential equations

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

The problem of conductive (contact) drying of a capillary-porous body in a steam-air (gas) environment by heat transfer to the material during its contact with the heated surfaces of the material is considered.  A system of significantly nonlinear differential equations of heat and mass transfer to describe such a process is obtained.  To solve the formulated problem of heat and mass transfer (without taking into account deformability), the method of solving nonlinear boundary value problems is applied in the form of an iterative process, at each step of which a linear boundary value proble

Modelling of resources accumulation and their operational control in biotechnological, biomedical, and web information systems

The aim of this work is to build a structure of a mathematical model for resource accumulation and their operational control in biotechnological, biomedical and Web information systems for the in-depth studies of their common properties. For the first time ever a concept of the models for the mentioned processes is proposed as a system of differential equations. The equations describe the dynamics of state variables, of a substrate and of a product of the processes being analysed.