asymptotic method

This study addresses a fluid–structure interaction problem that models flow in a channel.  Simulations were conducted to investigate the method's effectiveness when applied to real obstacle scenarios, where the obstacle is explicitly represented within the channel.  To tackle the Navier–Stokes equations, we utilized the spectral–Fourier–asymptotic approach, which is a mesh-free method that combines Chebyshev polynomials and Fourier series with the asymptotic method based on power series.

Based on the modification of the infectious disease model, taking into account diffusion disturbances and logistic dynamics of immunological cells, separate approaches to the diffusion scattering parameters identification for different types of functional dependence of diffusion coefficients and given redefinition conditions are proposed.  A special step-by-step procedure for numerically asymptotic approximation of the solution to the corresponding singularly perturbed model problem with a delay has been improved.  The results of computer experiments on identifying the

The study of transverse oscillations of systems moving along their axis is a very difficult, but at the same time a very important task.  Mathematical models of nonlinear transverse oscillations of a beam moving along its axis are analyzed in this paper work, both for non-resonant and resonant cases.  The task becomes even more complicated if we additionally take into account the method of fastening the ends of the beam or the perturbation at its ends.  We have obtained dependencies that can be used in construction, transport, industry, mechanical engineering and other