E3S Web of Conf.

2023

DOI: 10.1051/e3sconf/202346202021

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Theoretical preconditions for the development of mathematical models of the technology of desert plant drying

B.A. Kushimov,

K.A. Karimov,

A.X. Akhmedov

et al.

Abstract: The formulation of stationary and non-stationary problems for drying dispersed materials is substantiated in the article. A mathematical model and its analytical solutions are developed to determine the patterns of the interdependence of temperature and moisture content. A mathematical model of the process of drying a dispersed material is based on the energy conservation law under heat and mass transfer in a multiphase medium.

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In biology, solving a problem coming to a differential equation in the maple program

Nasriddinov,

Abdullayev,

Jo'rayeva

et al. 2024

E3S Web of Conf.

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We know that not only the problems of mathematics, but also the mathematical model of a number of processes that occur in nature can been reduced to a differential equation. Most of the quantities found in nature have their own laws. Finding these, laws directly have more complicated matter. Finding the relationship between the quantity in question, its rate of change and acceleration is quite easy by nature. Simple differential equations have formed as a mathematical expression of this connection. It is important and significant to use modern computer programs to find a quick and accurate solution to such equations. Found in Maple.

In biology, solving a problem coming to a differential equation in the maple program

Nasriddinov,

Abdullayev,

Jo'rayeva

et al. 2024

E3S Web of Conf.

View full text Add to dashboard Cite

We know that not only the problems of mathematics, but also the mathematical model of a number of processes that occur in nature can been reduced to a differential equation. Most of the quantities found in nature have their own laws. Finding these, laws directly have more complicated matter. Finding the relationship between the quantity in question, its rate of change and acceleration is quite easy by nature. Simple differential equations have formed as a mathematical expression of this connection. It is important and significant to use modern computer programs to find a quick and accurate solution to such equations. Found in Maple.

Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation

Daliyev,

Tukxtasinov,

Bozarov

et al. 2024

E3S Web of Conf.

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In this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space. The optimal coefficients of this quadrature formula have been found. In addition, using the constructed composite optimal quadrature formula, numerical results of examples of the generalized Abel integral equation were obtained and compared with the exact solution.

Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

Bozarov,

Daliyev,

Tukxtasinov

et al. 2024

E3S Web of Conf.

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The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.

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