Konstantine Ninidze

Numerical solution to a contact problem of the interaction between a system of two rigid stamps and elastic semi-plane for various stamps bases is given in terms of Cauchy kernel singular integrals and regular integrals. Numerical results are obtained by application of specially designed quadratures.

A contact problem on the interaction between a system of two rigid stamps and elastic half-plane is considered. The solution for the various stamps bases equations is given in terms of Cauchy kernel singular integrals and regular integrals. Numerical results are obtained by application of specially written quadratures for MATLAB language.

On the grounds of calorimetric results of the enthalpy of denaturation an attempt to explain hyperbolic dependence of thermostability on hydroxyproline is made. Mathematical model of the process is offered. The computed numerical results have shown that type of triplets (GPH) may cause hyperbolic character of change of collagen thermostability.

The article deals with the numerical solution for singular integral equations of the first kind on a closed Lyapunov contour using a modified scheme of discrete singularities. The so-called modified Dirichlet problem, conformal mappings and other applications. The main goal of our research task is to substantiate the mentioned numerical scheme for a wider class of functions than in previous considerations. Based on the use of the Maple and Matlab packages, the corresponding software was created and the results of a number of numerical experiments are presented.