This article studies the asymptotic behavior of self-similar solutions within a nonlinear cross-diffusion system characterized by nonlocal boundary conditions. The principal term of the asymptotic behavior of self-similar solutions has been established. A method for selecting the initial approximation for the iterative process in the numerical study of the problem is proposed. Numerical computations and result analysis were conducted utilizing asymptotic formulas as a preliminary approximation for the iterative procedure.
| Mualliflar | Урунбаев, Ж.Э. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2025-11-25 |
| Jild | 8 |
| Son | 4 |
| Betlar | 123-128 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v8i4.312 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v8i4.312 · Maqolaning asl sahifasi
кросс-диффузия, нелокальное граничное условие, автомодель, cross-diffusion, nonlocal boundary condition, self-similar
| APA | Урунбаев, Ж.Э. (2025). Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density. Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 123-128. https://doi.org/10.62132/ijdt.v8i4.312 |
|---|---|
| GOST (OAK) | Урунбаев, Ж.Э. Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 4. – P. 123-128. – DOI: 10.62132/ijdt.v8i4.312. |
| MLA | Урунбаев, Ж.Э. “Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 123-128, 2025. https://doi.org/10.62132/ijdt.v8i4.312 |
| Chicago | Урунбаев, Ж.Э. “Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 123-128 (2025). https://doi.org/10.62132/ijdt.v8i4.312 |
| Harvard | Урунбаев, Ж.Э (2025) ‘Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 123-128. https://doi.org/10.62132/ijdt.v8i4.312 |
| BibTeX | @article{article2025,
title = {Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density},
author = {Урунбаев, Ж.Э.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2025},
volume = {8},
number = {4},
pages = {123-128},
doi = {10.62132/ijdt.v8i4.312},
url = {https://doi.org/10.62132/ijdt.v8i4.312}
} |
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