Many applied problems are described by the Dirichlet problem for the Poisson equa tions. This problem is used in the following practical situations: membrane or plate deflection, electric potential, gravitational and magnetic potential, stationary tempera ture distribution (diffusion), and electron-optical systems. Although there are both direct and iterative methods for numerically solving the Poisson equation, the question of the effectiveness of using these methods remains relevant. In this work, the bending of a thin plate is studied using a discrete version of the method of preliminary integration over Chebyshev polynomials of the first kind. The proposed method is used to determine the bending of the plate. Numerical calculations are performed to demonstrate the depen dence of the bending of the plate on the distributed load, and the proposed method is shown to be highly accurate.
| Mualliflar | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., Зиякулова, Ш.А. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-09-20 |
| Son | 4 |
| Betlar | 26-37 |
| Til | Ingliz |
| DOI | 10.71310/pcam.4_68.2025.04 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.4_68.2025.04 · Maqolaning asl sahifasi
plate bending, load distribution, Chebyshev polynomials, discrete version of the preliminary integration method, high accuracy, efficiency, изгиб пластины, распределенние нагрузки, полиномы Чебышева, дискретный вариант метода предварительного интегрирования, высокая точность, эффективность
| APA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., & Зиякулова, Ш.А. (2025). Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method. Ҳисоблаш ва амалий математика муаммолари, (4), 26-37. https://doi.org/10.71310/pcam.4_68.2025.04 |
|---|---|
| GOST (OAK) | Normurodov, Ch.B. va b. Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4. – P. 26-37. – DOI: 10.71310/pcam.4_68.2025.04. |
| MLA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method.” Ҳисоблаш ва амалий математика муаммолари, (4), 26-37, 2025. https://doi.org/10.71310/pcam.4_68.2025.04 |
| Chicago | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method.” Ҳисоблаш ва амалий математика муаммолари, (4), 26-37 (2025). https://doi.org/10.71310/pcam.4_68.2025.04 |
| Harvard | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А (2025) ‘Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method’, Ҳисоблаш ва амалий математика муаммолари, (4), 26-37. https://doi.org/10.71310/pcam.4_68.2025.04 |
| BibTeX | @article{normurodovchb2025,
title = {Numerical Modeling of Thin Plate Bending using a Discrete Version of the Pre-Integration Method},
author = {Normurodov, Ch.B. and Ziyakulova, Sh.A. and Нормуродов, Ч.Б. and Зиякулова, Ш.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4},
pages = {26-37},
doi = {10.71310/pcam.4_68.2025.04},
url = {https://doi.org/10.71310/pcam.4_68.2025.04}
} |
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