The main aim of this paper is to investigate a Newtonian model two-dimensional blood flow coupled with mass transfer in the presence magnetic field and Hall current effect. flowing assumed be fluid, arterial wall having cosine-shaped stenosis its vessel stenosis. fluid dynamics are governed by Navier-Stokes equation magnetohydrodynamic (MHD) principle effect which describe additional effects cylindrical coordinate system. governing equations motion accompanied appropriate initial boundary...

A mathematical model of a Newtonian, two-dimensional blood flow coupled with mass transfer under the influence magnetic field and consistent principles ferrohydrodynamics (FHD) is developed in study. The profile are analysed by developing fluid from Navier-Stokes equation together cylindrical system. governing equations for this problem then solved using finite difference Marker Cell (MAC) method an appropriate initial boundary conditions. Poisson pressure successive-over-relaxation (S.O.R.)...

A numerical study of mass with heat transfer in a stenosed arterial segment is studied this paper. The flowing blood treated as non-Newtonian fluid governed by power-law through the cosine-shaped artery. factors that influence transport process are concentration gradient, pressure, temperature, and forces. Soret effect known thermodiffusion occurs systems when temperature gradient creates gradient. leads to depletion components specific regions artery depending on Marker Cell (MAC) method...

In the paper, we study a class of three-dimensional quasilinear hyperbolic systems. For such system, set initial boundary value problem and construct energy integral. We difference scheme obtain an priori estimate for its solution.

In the paper, we propose a systematic approach to design and investigate adequacy of computational models for mixed dissipative boundary value problem posed symmetric t-hyperbolic systems.We consider two-dimensional linear hyperbolic system with variable coefficients lower order term in conditions.We construct difference splitting scheme numerical calculation stable solutions this system.A discrete analogue Lyapunov's function is constructed verification o f s tability olutions or considered...

It is important to create a cryptographic system such that the encryption does not depend on secret storage of algorithm part it, but only private key kept secret. In practice, management separate area cryptography, which considered problematic area. This paper describes main characteristics working with information. that, formation keys and information are stored external media. The random-number generator for generating random numbers used generation elucidated. To initialize sensor,...

In this paper, we introduce a numerical integration method for hyperbolic systems problems known as the splitting method, which serves an effective tool solving complex multidimensional in mathematical physics. The exponential stability of upwind explicit–implicit difference scheme split into directions is established mixed problem linear two-dimensional symmetric t-hyperbolic system with variable coefficients and lower-order terms. It noteworthy that there are control functions dissipative...

The class of three-dimensional quasilinear hyperbolic systems is studied. initial boundary value problem for this given. By constructing the energy’s integral, a priori estimate solution obtained. Difference scheme constructed and an its Numerical example exhibits efficiency accuracy method.

The problem of numerical determination Lyapunov-stable (exponential stability) solutions the Saint-Venant equations system has remained open until now. authors this paper previously proposed an implicit upwind difference splitting scheme, but its practical applicability was not indicated there. In paper, is solved successfully, namely, algorithm for calculating developed and implemented using scheme on example Big Almaty Canal (hereinafter BAC). As a result application, it established that:...

The paper is devoted to the construction and study of a numerical method for solving two-dimensional Saint–Venant equations. These equations have important applied significance in modern hydraulic engineering are suitable describing waves atmosphere, rivers oceans, modeling tides. issues formulation mixed problems these studied. system reduced symmetrical form by transforming dependent variables. Then, matrices coefficients represented as sums two symmetric semidefinite matrices. This...

In this paper, we investigate the problem of exponential stability a stationary solution for hyperbolic system with nonlocal characteristic velocities and measurement error. The formulation initial boundary value control specified is given. A difference scheme constructed numerical considered problem. definition in ℓ2-norm respect to discrete perturbation equilibrium state Lyapunov function constructed, theorem on proved.

The article provides a brief description of the cryptography service provider software developed by authors this article, which is designed to create encryption keys, private and public keys electronic digital signature, confirm authenticity signatures, hashing, encrypting, simulating data using algorithms described in State Standards Uzbekistan. It can be used telecommunications networks, information systems, government corporate systems embedding into applications that store, process,...

A hypersingular integral equations (HSIEs) of the first kind on interval [-1, 1] with assumption that kernel is constant diagonal domain considered.Truncated series Chebyshev polynomials third and fourth kinds are used to find semi bounded (unbounded left right vice versa) solutions HSIEs kind.Exact calculations singular integrals respect forth corresponding weights allows us obtain high accurate approximate solution.Gauss-Chebyshev quadrature formula extended for regular integrals.Three...

We study the difference splitting scheme for numerical calculation of stable solutions a two-dimensional linear hyperbolic system with dissipative boundary conditions in case constant coefficients lower terms. A discrete analog Lyapunov function is constructed and an priori estimate obtained it. The allows us to assert exponential stability solution.

The performance of a new beta in conjugate gradient method is generally measured on its CPU time and the number iterations using large scale problems without concerning accuracy solution attained. claimed to be best when less used comparison with other classical beta. However, gained compared exact function has never been tested as part measurement. Our previous research already proven that our perform well both speed used. Therefore, this research, we will accommodate alternative numerical...

This article considers mixed problem for 2-dimensional symmetric t-hyperbolic system. system consists of constant coefficients. We investigated questions setting problems (problems with initial-boundary conditions) It is known that a system, the concept characteristic velocity plays very important role. The main point this to construct difference control scheme these velocities. Control parameters are introduced velocities value parameter, can have different signs. will consider all possible...

In this article, issues related to the application of quadratic cryptanalysis method five rounds GOST 28147-89 encryption algorithm are given. For example, role bit gains in method, which is formed operation addition according mod232 used described. case, it shown that selection relevant bits incoming plaintext and cipher text be equal zero plays an important order obtain effective result

In the paper, we propose a systematic approach to development and study of adequacy computational models for mixed dissipative boundary-value problem posed symmetric t-hyperbolic systems. We consider three-dimensional linear hyperbolic system with constant coefficients boundary conditions. construct difference splitting scheme in directions numerical calculation stable solutions this system.We discrete analogue Lyapunov function stability considered problem. obtain an priori estimate analog,...

In the paper, we consider a mixed problem for class of systems linear hyperbolic balance laws with inhomogeneous coefficients and dissipative boundary conditions. The presence source term creates additional difficulties constructing analyzing stability (according to Lyapunov) difference schemes numerical calculation exponentially stable solutions. work, propose an upwind splitting scheme solutions coefficients. A discrete analog Lyapunov function is constructed priori estimate obtained it,...