This article investigates the asymptotic behavior of self-similar solutions of a nonlinear cross-diffusion system with nonlocal boundary conditions. The main term of the asymptotics of self-similar solutions has been determined. For the numerical study of the problem under consideration, a method for selecting the initial approximation corresponding to the iterative process is proposed. Numerical calculations and analysis of the results were carried out using asymptotic formulas as an initial approximation for the iteration process.
| Mualliflar | Рахмонов, З.Р., Урунбаев, Ж.Э. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2025-07-25 |
| Jild | 8 |
| Son | 2 |
| Betlar | 124-129 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v8i2.273 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v8i2.273 · Maqolaning asl sahifasi
кросс-диффузия, нелокальное граничное условие, автомодель, Cross-diffusion, nonlocal boundary condition, self-similar
| APA | Рахмонов, З.Р., & Урунбаев, Ж.Э. (2025). Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions. Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 124-129. https://doi.org/10.62132/ijdt.v8i2.273 |
|---|---|
| GOST (OAK) | Рахмонов, З.Р., Урунбаев, Ж.Э. Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 2. – P. 124-129. – DOI: 10.62132/ijdt.v8i2.273. |
| MLA | Рахмонов, З.Р., and Урунбаев, Ж.Э. “Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 124-129, 2025. https://doi.org/10.62132/ijdt.v8i2.273 |
| Chicago | Рахмонов, З.Р., and Урунбаев, Ж.Э. “Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 124-129 (2025). https://doi.org/10.62132/ijdt.v8i2.273 |
| Harvard | Рахмонов, З.Р., and Урунбаев, Ж.Э (2025) ‘Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 124-129. https://doi.org/10.62132/ijdt.v8i2.273 |
| BibTeX | @article{article2025,
title = {Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions},
author = {Рахмонов, З.Р. and Урунбаев, Ж.Э.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2025},
volume = {8},
number = {2},
pages = {124-129},
doi = {10.62132/ijdt.v8i2.273},
url = {https://doi.org/10.62132/ijdt.v8i2.273}
} |
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