[en] The thermodynamic properties of components from constructed phase diagram of Cu-Se have been evaluated in present article.

[en] For equations describing viscous (ideal) compressible motion heat transfer gas, an implicit difference scheme is proposed. Proven the existence of a solution of the grid problem, the positivity of the density, mass conservation and energy inequality. Examples of calculations of various problems are given. (author)

[en] The paper presents the results of computational experiments on modeling a one-dimensional oil displacement process and forecasting the values of the current oil recovery coefficient within the framework of the mathematical models of Buckley-Leverett and Leas-Rapoport. (author)

[en] The article deals with the problem associated with the process of ion-exchange filtration of ionized liquid solutions from heavy ionic compounds emitted from production facilities. To carry out a comprehensive study of the above mentioned process, the paper presents a mathematical tool - a mathematical model and its numerical algorithm for conducting a computational experiment on a computer and the results of the above calculations, as well as conclusions related to them. For numerical integration, the task of suppressing small-scale oscillation is added to the term with some numerical parameter - the coefficient of 'artificial viscosity', and the nonlinear terms of the equation are linearized by the Bellman-Calaba quasi linearization method. (author)

[en] Exact solutions to the problem of non-stationary heat conduction after applying the integral Laplace transform for a plate, cylinder and ball and the transition to the domain of originals for specific types of input temperature perturbation functions are given. These solutions for the plate and the ball are expressed in terms of sine and cosine functional series, and for a cylinder in terms of Bessel functions. Such as approach to solving heat conduction problems allows to find the temperature field as an element of the functional space, the basis of which is the system of Eigen functions of the Sturm-Lowville problem. However, even for one-dimensional bodies of classical forms, exact solutions in an explicit form are not always representable. For applied thermal physics, of interest are approximate methods that allow one to find in a simple orthogonal projection of the residual. The expediency of applying this method to classical bodies is due to the fact that in the theory of nonstationary thermal conductivity, the reverse transition to the original in time from the exact problem is the most complex. The use of the Bubnov-Galerkin method makes it possible to circumvent these difficulties and propose a simple and unified method of transition to the area of the originals. In this given work, we consider the general ia of the method of joint application of the integral Laplace transform and orthogonal projection. Thermal conductivity setting on the body surface. (author)

[en] This article focuses on the use of mathematical modeling for the calculation of electrical circuits. The Mat Lab software package is selected. A method has been developed for calculating complex electrical circuits by solving systems of linear algebraic equations using the matrix method. An example of the calculation in the Mat Lab package of the currents of the branches and node potentials of an electrical circuit is given. The conclusion was made about the universality of the use of mathematical modeling in technical calculations. (author)

[en] Present collection comprises of materials of XI International Theoretical Conference 'Computer analysis of Science and Technology Issues' dedicated to 70^th anniversary of formation of Tajik National University and 70^th anniversary of Doctor of physico mathematical sciences, Professor Yunusi Makhmadyusuf Kamarzoda. Collection is intended for scientific and technical staff, postgraduates, and students of institutes of higher education.

[en] The article considers the influence of the composition of propane-air mixture of gases on the characteristics of filtration-burning waves, taking into account the diffusion coefficient of the missing component. It has been established that the curve of the dependence of the wave propagation velocity on the fuel excess coefficient has a minimum for a stoichiometric mixture for an arbitrary value of the similarity coefficient for te temperature and concentration fields. However, relative to the minimum point, the curve is asymmetrical, that is, at an excess of propane in the mixture, a slow decrease in the wave velocity is observed in comparison with the velocity for the case of its smallness in the mixture. With an increase in the similarity coefficient, the wave velocity decreases for all compositions of the mixture. Calculations show that the wave velocity increases with increasing blowing velocity for all mixtures. (author)

[en] The article deals with the smoothness of generalized solutions of the boundary value problem of electro magnet elasticity. Also authors generalized the existence and uniqueness of solutions of initial boundary value problem of electromagnet elasticity with general defining equations. There are shown that for several stronger propositions about these problems generalized solutions exist.

[en] In the present work, the individual short amyloid peptides in water studied by the molecular dynamics method, and the interaction of the 3d generation dendrimer with a stack of amyloid peptides was simulated. (author)