This article discusses the numerical modeling of the problem of nonlinear groundwater filtration taking into account evaporation and infiltration. Particular attention is paid to the influence of nonlinear effects on the distribution and dynamics of filtration flows in porous media. A mathematical model based on a system of nonlinear differential equations describing the process of water filtration in soil has been developed. Numerical methods, including difference schemes and iterative algorithms, ensuring the stability and convergence of calculations, have been applied to solve the problem. Numerical modeling of various conditions describing the dynamics of groundwater has been performed taking into account changing humidity and the impact of external factors. An algorithm developed on the basis of a finite-difference solution of a system of equations for groundwater filtration in a two-layer model of aquifers is presented. The algorithm is implemented as software designed to solve various hydrogeological and melioration problems of forecasting. The program takes into account the influence of both natural and artificial factors on the process of filtration of ground and pressure waters. The calculation results are visualized in graphical form.
| Mualliflar | Nazirova, E.Sh., Karabaeva, Kh.A., Назирова, Э.Ш., Карабаева, Х.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 | 2025-07-27 |
| Son | 3 |
| Betlar | 37-52 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.3_67.2025.04 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.3_67.2025.04 · Maqolaning asl sahifasi
mathematical model, numerical modeling, groundwater, filtration, infiltration, evaporation, finite difference method, математическая модель, численное моделирование, подземные воды, фильтрация, инфильтрация, испарение, метод конечных разностей
| APA | Nazirova, E.Sh., Karabaeva, Kh.A., Назирова, Э.Ш., & Карабаева, Х.А. (2025). Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem. Ҳисоблаш ва амалий математика муаммолари, (3), 37-52. https://doi.org/10.71310/pcam.3_67.2025.04 |
|---|---|
| GOST (OAK) | Nazirova, E.Sh. va b. Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 3. – P. 37-52. – DOI: 10.71310/pcam.3_67.2025.04. |
| MLA | Nazirova, E.Sh., Karabaeva, Kh.A., Назирова, Э.Ш., and Карабаева, Х.А. “Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem.” Ҳисоблаш ва амалий математика муаммолари, (3), 37-52, 2025. https://doi.org/10.71310/pcam.3_67.2025.04 |
| Chicago | Nazirova, E.Sh., Karabaeva, Kh.A., Назирова, Э.Ш., and Карабаева, Х.А. “Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem.” Ҳисоблаш ва амалий математика муаммолари, (3), 37-52 (2025). https://doi.org/10.71310/pcam.3_67.2025.04 |
| Harvard | Nazirova, E.Sh., Karabaeva, Kh.A., Назирова, Э.Ш., and Карабаева, Х.А (2025) ‘Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem’, Ҳисоблаш ва амалий математика муаммолари, (3), 37-52. https://doi.org/10.71310/pcam.3_67.2025.04 |
| BibTeX | @article{nazirovaesh2025,
title = {Numerical Solution of the Nonlinear Groundwater and Pressurized Water Filtration Problem},
author = {Nazirova, E.Sh. and Karabaeva, Kh.A. and Назирова, Э.Ш. and Карабаева, Х.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {3},
pages = {37-52},
doi = {10.71310/pcam.3_67.2025.04},
url = {https://doi.org/10.71310/pcam.3_67.2025.04}
} |
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