To solve elliptic equations, iterative methods are mainly used, the number of iterations in which is often very large. For this reason, it is of interest to develop high-precision direct oriented methods for solving such equations. In this paper, a discrete version of the Chebyshev polynomial pre-integration method of the first kind is proposed for the numerical solution of the Poisson equation. The numerical calculations performed for different values of characteristic parameters with different test functions show the high accuracy of the proposed method.
| 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 | 2025-01-04 |
| Son | 5 |
| Betlar | 59-68 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
Chebyshev polynomials, discrete version of the preliminary integration method, trial function, high accuracy, полиномы Чебышева, дискретный вариант метода предварительного интегрирования, пробная функция, высокая точность
| APA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., & Зиякулова, Ш.А. (2025). Numerical Modeling of Elliptic Type Equations by a Discrete Variant of the Pre-Integration Method. Ҳисоблаш ва амалий математика муаммолари, (5), 59-68. https://journals.airi.uz/index.php/pvpm/article/view/75 |
|---|---|
| GOST (OAK) | Normurodov, Ch.B. va b. Numerical Modeling of Elliptic Type Equations by a Discrete Variant of the Pre-Integration Method // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 5. – P. 59-68. |
| MLA | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “Numerical Modeling of Elliptic Type Equations by a Discrete Variant of the Pre-Integration Method.” Ҳисоблаш ва амалий математика муаммолари, (5), 59-68, 2025. https://journals.airi.uz/index.php/pvpm/article/view/75 |
| Chicago | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А. “Numerical Modeling of Elliptic Type Equations by a Discrete Variant of the Pre-Integration Method.” Ҳисоблаш ва амалий математика муаммолари, (5), 59-68 (2025). https://journals.airi.uz/index.php/pvpm/article/view/75 |
| Harvard | Normurodov, Ch.B., Ziyakulova, Sh.A., Нормуродов, Ч.Б., and Зиякулова, Ш.А (2025) ‘Numerical Modeling of Elliptic Type Equations by a Discrete Variant of the Pre-Integration Method’, Ҳисоблаш ва амалий математика муаммолари, (5), 59-68. https://journals.airi.uz/index.php/pvpm/article/view/75 |
| BibTeX | @article{normurodovchb2025,
title = {Numerical Modeling of Elliptic Type Equations by a Discrete Variant 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 = {5},
pages = {59-68},
url = {https://journals.airi.uz/index.php/pvpm/article/view/75}
} |
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