Many practical problems, such as a solar panel, a microplate inside an electronic device, a thin layer of metal exposed to a laser, or the bending of a reinforced concrete slab, are described by various boundary value problems for the biharmonic equation. Solving biharmonic equations using iterative methods is extremely inconvenient due to the requirement to perform a large number of arithmetic operations, in addition, the number of iterations in which often turns out to be very large. The consideration of biharmonic equations with Dirichlet and Neumann boundary conditions limits the use of difference methods for their numerical solution. Therefore, the development of highly accurate and efficient direct numerical methods for solving such equations is of particular scientific interest. For this purpose, in this article, for the numerical solution of boundary value problems for the biharmonic equation, it is proposed to use a direct numerical method - a discrete version of the preliminary integration method with high accuracy and efficiency.
| 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 | 2025-11-16 |
| Son | 5 |
| Betlar | 5-16 |
| Til | Ingliz |
| DOI | 10.71310/pcam.5_69.2025.01 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.5_69.2025.01 · Maqolaning asl sahifasi
reinforced concrete slab, bending, load, biharmonic equation, Chebyshev polynomials, discrete version of the pre-integration method, железобетонная плита, изгиб, нагрузка, бигармоническое уравнение, полиномы Чебышева, дискретный вариант метода предварительного интегрирования
| APA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., & Зиякулова, Ш.А. (2025). A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending. Ҳисоблаш ва амалий математика муаммолари, (5), 5-16. https://doi.org/10.71310/pcam.5_69.2025.01 |
|---|---|
| GOST (OAK) | Normurodov, Ch.B. va b. A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 5. – P. 5-16. – DOI: 10.71310/pcam.5_69.2025.01. |
| MLA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending.” Ҳисоблаш ва амалий математика муаммолари, (5), 5-16, 2025. https://doi.org/10.71310/pcam.5_69.2025.01 |
| Chicago | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending.” Ҳисоблаш ва амалий математика муаммолари, (5), 5-16 (2025). https://doi.org/10.71310/pcam.5_69.2025.01 |
| Harvard | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А (2025) ‘A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending’, Ҳисоблаш ва амалий математика муаммолари, (5), 5-16. https://doi.org/10.71310/pcam.5_69.2025.01 |
| BibTeX | @article{normurodovchb2025,
title = {A Highly Accurate and Efficient Method for Numerical Simulation of Reinforced Concrete Slab Bending},
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 = {5},
pages = {5-16},
doi = {10.71310/pcam.5_69.2025.01},
url = {https://doi.org/10.71310/pcam.5_69.2025.01}
} |
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