To solve elliptic equations, iterative methods are mainly used, the number of iterations in which is often very large. For this reason, it is of interest to develop high-precision direct oriented methods for solving such equations. In this paper, a discrete version of the Chebyshev polynomial pre-integration method of the first kind is proposed for the numerical solution of the Poisson equation. The numerical calculations performed for different values of characteristic parameters with different test functions show the high accuracy of the proposed method.
| Mualliflar | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., Зиякулова, Ш.А. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2025-01-04 |
| Son | 5 |
| Betlar | 59-68 |
| Til | Rus |
Chebyshev polynomials, discrete version of the preliminary integration method, trial function, high accuracy, полиномы Чебышева, дискретный вариант метода предварительного интегрирования, пробная функция, высокая точность
This paper investigates the existence and conditional stability of solutions for a initialboundary value problem related to a third-order mixed-type Sobolev equation. These types of problems arrays in various fields…
Using the Duhamel-Neumann relationship and the equations of motion, the Saint-Venant compatibility conditions, are written as a system of six dynamic equations with respect to strains. It is shown that, unlike the…
This study examines the annotation of documents with respect to semantic roles. The data for thematic models is formed based on the standard bag-of-words hypothesis. The question of the number and uniqueness of themes…
In this work, a mathematical model of the thermo-electro-magnetic-elastic deformation process of thin plates with a complex shape was developed and calculation experiments were carried out using the…
This article provides an advanced control model for controlling the temperature and water level in smart home systems. The proposed model combines adaptive splines, Kalman filters, a dynamically adjustable PID…
A numerical study of the non-stationary technological process of filtering lowconcentration solutions through a porous medium, proceeding in accordance with Darcy’s law taking into account the phenomena of colmatation…
His study analyses chlorophyll indices in plants as indicators of the presence of phytopathogens and abiotic stress. Special attention is given to the identification of early signs of strawberry spider mite infestation…
A multidimensional mathematical model of simultaneous heat and moisture transfer processes in inhomogeneous porous bodies is proposed, considering internal heat and moisture release, heat and moisture exchange with the…
The IP-based rail transpot network lists the radio communication Reliability Index and methodology for its calculation. In general, the use of the classical graph-probability method for calculating the reliability of an…
The nonlinear viscoelastic vibration protection system is considered, which consists of a vibration protection object installed on a platform, which, in turn, is installed on another platform, the lower platform is…