The solutions of two-parameter singularly perturbed boundary value problems usually include two boundary layers. Because of the presence of these layers, conventional numerical methods are considered inefficient for such problems. In this article, a spectral-grid method is proposed for numerically solving problems of this type. In this work, using the spectral-grid method, the differential problem for a two-parameter singularly perturbed equation is reduced to an algebraic problem. The numerical computations carried out and the results obtained were compared with those of other authors. The universality, high accuracy, and efficiency of the proposed method in solving the considered problem were demonstrated.
| Mualliflar | Murodov, Sardorbek, Normurodov, Chori |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashr sanasi | 2025-10-09 |
| Son | 3 |
| Betlar | 188-193 |
| Til | Rus |
spektral-to‘r usuli, ikki parametrli singulyar qo‘zg‘atilgan tenglama, Chebyshev ko‘phadlari, Gradientlangan to‘rli B-splayn kollakatsiya metodi, maksimal absolyut xatolik., spektral-to‘r usuli, ikki parametrli singulyar qo‘zg‘atilgan tenglama, Chebyshev ko‘phadlari, Gradientlangan to‘rli B-splayn kollakatsiya metodi, maksimal absolyut xatolik
Abstract: Heating, Ventilation, and Air Conditioning (HVAC) systems account for about 40% of building energy use. Their performance is strongly affected by uncertain external factors such as weather and stochastic…
This paper investigates the application of neural networks in cryptanalysis processes using the Vigenere cipher as a case study. Although the Vigenere cipher, one of the classical polyalphabetic substitution algorithms…
The increase in the creation of fake web pages by attackers is leading to a sharp increase in cyberattacks. Attackers use these fake web sites to advertise products to Internet users, distribute malicious programs, or…
This research study addresses the issues of analyzing code-reuse attacks in uncertain information environments and their clustering. Clustering methods were applied to identify interrelated attack parameters. Special…
This paper addresses the problem of managing multi-parameter data flows in monitoring and treatment of livestock wastewater based on sensor measurements. A sensor network was deployed to collect key water quality…
The development of quantum computers has serious implications for cryptography. Most symmetric and asymmetric cryptographic algorithms are vulnerable to quantum algorithms. The Grover search algorithm improves the…
This article discusses methods for modeling and analyzing satellite communication channel characteristics. Simulations were conducted using MATLAB/Simulink, NS-3, and STK tools based on AWGN, Rayleigh, Rician, and…
Aiming at the difficulty in identifying potato early blight and late blight, this paper conducts a disease classification study based on Xception. Due to the similar initial symptoms of the two diseases, the traditional…
Activation functions play a vital role in the training dynamics and generalization performance of deep learning models. This study presents a comparative analysis of ten widely used activation functions—ReLU, Sigmoid…
The article analyzes the types of cyber attacks, methods of their implementation and protection measures in connection with the development of modern information and communication technologies. The main motives of…