Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels

Каримов, М.М., Яхшибоев, М.У.

Рақамли технологияларнинг назарий ва амалий масалалари · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarКаримов, М.М., Яхшибоев, М.У.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
Nashr sanasi2025-04-06
Jild8
Son1
Betlar144-157
TilRus
DOI10.62132/ijdt.v8i1.243

Kalit so‘zlar

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

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