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 |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2025-10-09 |
| Son | 3 |
| Betlar | 188-193 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
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
| APA | Murodov, Sardorbek, & Normurodov, Chori (2025). NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD. Al-Farg'oniy avlodlari, (3), 188-193. https://al-fargoniy.uz/index.php/journal/article/view/887 |
|---|---|
| GOST (OAK) | Murodov, Sardorbek, Normurodov, Chori NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD // Al-Farg'oniy avlodlari. – 2025. – № 3. – P. 188-193. |
| MLA | Murodov, Sardorbek, and Normurodov, Chori. “NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD.” Al-Farg'oniy avlodlari, (3), 188-193, 2025. https://al-fargoniy.uz/index.php/journal/article/view/887 |
| Chicago | Murodov, Sardorbek, and Normurodov, Chori. “NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD.” Al-Farg'oniy avlodlari, (3), 188-193 (2025). https://al-fargoniy.uz/index.php/journal/article/view/887 |
| Harvard | Murodov, Sardorbek, and Normurodov, Chori (2025) ‘NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD’, Al-Farg'oniy avlodlari, (3), 188-193. https://al-fargoniy.uz/index.php/journal/article/view/887 |
| BibTeX | @article{murodovsardorbek2025,
title = {NUMERICAL MODELING OF A TWO-PARAMETER SINGULAR MOVED BOUNDARY VALUE PROBLEM USING THE SPECTRAL-GRID METHOD},
author = {Murodov, Sardorbek and Normurodov, Chori},
journal = {Al-Farg'oniy avlodlari},
year = {2025},
number = {3},
pages = {188-193},
url = {https://al-fargoniy.uz/index.php/journal/article/view/887}
} |
Boshqa maqola uchun iqtibos tayyorlash
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…
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…
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 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 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…
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…
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 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…
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…
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…
Al-Farg'oniy avlodlari — barcha maqolalar · 2025-yil arxivi
This article examines the concept and essence of retail business, retail lending and retail customer service, the role and importance of the implementation of social packages of services in the development of the…
This study investigates the longitudinal and transverse components of linear perturbations in the Blasius boundary layer within the framework of local hydrodynamic stability analysis. The base-flow profile is determined…
This article examines compression as a meaning-oriented strategy in sign language translation and interpreting. Compression is understood not as arbitrary shortening, but as the selective reformulation of a source…
This study investigates the impact of Edge Computing on bandwidth utilization in Internet of Things (IoT)–driven Nigerian telecom networks. The rapid growth of IoT devices has significantly increased data traffic…
This article analyzes the scientific, pedagogical, and methodological foundations for the effective integration of national upbringing factors with modern global competencies in the context of continuous education…
This article addresses the problem of improving an adaptive traffic signal control algorithm at urban intersections by taking into account the dynamic characteristics of traffic flow. Fixed-time control under conditions…
Maqolada paxta xomashyosini yirik iflosliklardan tozalash jarayonida arrali baraban va kolosnikli panjara o‘rtasidagi o‘zaro ta’sirni takomillashtirish masalasi ko‘rib chiqilgan. Mavjud tozalagichlarda qo‘llaniladigan…
Maqolada paxta xomashyosini yirik va mayda iflosliklardan tozalash samaradorligini oshirishga qaratilgan ilmiy tadqiqotlar tizimlashtirilib, konstruktiv va texnologik omillarning o‘zaro ta’siri qiyosiy tahlil qilindi…