The article considers the problem of forecasting changes in groundwater levels using numerical methods based on a three-dimensional nonlinear mathematical model. The model takes into account factors affecting the dynamics of the aquifer - water intake wells, evaporation and other external sources. The model, based on differential equations, describes the movement of groundwater, and an algorithm for solving it using the alternating direction method is proposed. When performing numerical calculations, the model is initially expressed through dimensionless quantities, which is one of the ways to improve the convenience of obtaining calculation results. The calculation results allow us to estimate and predict changes in water levels under various conditions. This approach can be used for effective water resource management and the development of environmental monitoring systems.
| Mualliflar | Каримов, М.М., Яхшибоев, М.У. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2025-04-06 |
| Jild | 8 |
| Son | 1 |
| Betlar | 144-157 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v8i1.243 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v8i1.243 · Maqolaning asl sahifasi
математическая модель, грунтовые воды, коэффициент фильтрации, свободная водоотдача, дебит скважины, интенсивность испарения, интенсивность инфильтрации, mathematical model, groundwater, filtration coefficient, free water yield, well flow rate, evaporation rate, infiltration rate
| APA | Каримов, М.М., & Яхшибоев, М.У. (2025). Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels. Рақамли технологияларнинг назарий ва амалий масалалари, 8(1), 144-157. https://doi.org/10.62132/ijdt.v8i1.243 |
|---|---|
| GOST (OAK) | Каримов, М.М., Яхшибоев, М.У. Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 1. – P. 144-157. – DOI: 10.62132/ijdt.v8i1.243. |
| MLA | Каримов, М.М., and Яхшибоев, М.У. “Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(1), 144-157, 2025. https://doi.org/10.62132/ijdt.v8i1.243 |
| Chicago | Каримов, М.М., and Яхшибоев, М.У. “Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(1), 144-157 (2025). https://doi.org/10.62132/ijdt.v8i1.243 |
| Harvard | Каримов, М.М., and Яхшибоев, М.У (2025) ‘Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(1), 144-157. https://doi.org/10.62132/ijdt.v8i1.243 |
| BibTeX | @article{article2025,
title = {Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels},
author = {Каримов, М.М. and Яхшибоев, М.У.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2025},
volume = {8},
number = {1},
pages = {144-157},
doi = {10.62132/ijdt.v8i1.243},
url = {https://doi.org/10.62132/ijdt.v8i1.243}
} |
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