The article investigates the asymptotics of self-similar solutions of a nonlinear system of cross-diffusion with nonlocal boundary conditions and a source. The main results of the work include obtaining the leading term of the asymptotics of self-similar solutions and proposing a method for selecting the optimal initial approximation for the iterative process necessary for the numerical investigation of the problem. The asymptotic concepts and methods presented in the article lend significance to the theory of combustion, particularly in the analysis of reactions occurring during combustion. Given that the rate of chemical reaction strongly depends on temperature, the asymptotic approach can be useful for modeling such processes. Additionally, numerical calculations and analysis of results were conducted using asymptotic formulas as initial approximations for the iterative process. This approach allows for a more efficient and accurate solution to the problem under consideration. Overall, the article makes an important contribution to understanding and modeling combustion processes using asymptotic methods and numerical calculations.
| Mualliflar | Урунбаев, Ж.Э. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashr sanasi | 2024-04-09 |
| Jild | 7 |
| Son | 1 |
| Betlar | 102-106 |
| Til | Rus |
| DOI | 10.62132/ijdt.v7i1.170 |
DOI: 10.62132/ijdt.v7i1.170 · Maqolaning asl sahifasi
cross-diffusion, critical exponents, global existence, unbounded solutions, self-similar analysis, кросс диффузия, критические экспоненты, глобального существование, неограниченные решения, автомодельный анализ
Before moving on to a discussion of fractal shapes, it is necessary to indicate some basic properties of fractals and their significance for the field of natural geography. It is known that fractals have very complex…
The article examines the problems of constructing a model of recognition operators in conditions of a large dimension of the feature space. To solve this problem, an original approach based on local decision-making is…
The development of artificial intelligence in medicine in Iraq indicates the increasing need for this new idea to be taught to medical students. The objective of such research study having this specific interest is to…
In the modern world, various issues in numerous sectors are being solved using artificial intelligence and computer technologies. It is hard to imagine contemporary tourism without computer technologies. Applying…
A related conjugate problem is to ensure that industrial facilities are optimally located throughout a region, taking into account global and local sanitary standards. The main parameters for the spread of harmful…
Technologies of geoinformation systems provide an opportunity to store and process various types of data collected as a result of human economic activity. This article considers ways to create an automated system of…
As the capabilities of information technologies develop, the effectiveness of using the capabilities of CNN convolutional neural networks, an algorithm with a high level of accuracy, and early prediction of various…
This paper presents a cryptosteganographic approach, which involves the use of cryptographic mechanisms in order to eliminate the known shortcomings of steganographic protection. The proposed method demonstrates the…
The article considers the formulation of the problem of a two-criterion deterministic problem of the placement and specialization of agricultural production based on the degree of salinity of irrigated lands. The target…
In this paper, a new stream encryption algorithm called NSA (New Stream Algorithm) is proposed. This algorithm uses a 128-bit secret key and 128-bit seed vectors and produces a 64-bit output value in each round. The…
Рақамли технологияларнинг назарий ва амалий масалалари — barcha maqolalar