Numerical simulation of a cross-diffusion system with nonlinear boundary conditions and density

Rakhmonov, Zafar, Urunbaev, Jasur

Techscience.uz - техника фанлари долзарб масалалри · 2025-yil

Annotatsiya

This paper examines the asymptotic behavior of self-similar solutions to a nonlinear cross-diffusion system with nonlocal boundary conditions and density. Various self-similar solutions to the problem for the case of slow diffusion are constructed, representing the asymptotic behavior of the solutions to the problem under consideration. The leading term of the asymptotic behavior of the self-similar solutions is obtained. For the numerical study of the problem under consideration, a method for selecting the optimal initial approximation for the iterative process is proposed. Numerical calculations are performed using asymptotic formulas as the initial approximation for the iterative process. The calculation results are visualized over time, and an analysis is provided.

Maqola ma’lumotlari
MualliflarRakhmonov, Zafar, Urunbaev, Jasur
JurnalTechscience.uz - техника фанлари долзарб масалалри
NashriyotЖиззах политехника институти
ISSN3030-3702, 3030-3702
Nashr sanasi2025-11-30
Jild3
Son11
Betlar4-15
TilIngliz
Ilmiy sohaTexnika
DOI10.47390/ts-v3i11y2025no1
Indeksga qo‘shilgan2026-08-26

DOI: 10.47390/ts-v3i11y2025no1 · Maqolaning asl sahifasi

Kalit so‘zlar

cross-diffusion, nonlinear boundary conditions, self-similar., кросс-диффузия, нелинейные граничные условия, автомодельный.

Ilmiy soha

Texnika

Iqtibos keltirish

APARakhmonov, Zafar, & Urunbaev, Jasur (2025). NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY. Techscience.uz - техника фанлари долзарб масалалри, 3(11), 4-15. https://doi.org/10.47390/ts-v3i11y2025no1
GOST (OAK)Rakhmonov, Zafar, Urunbaev, Jasur NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY // Techscience.uz - техника фанлари долзарб масалалри. – 2025. – T. 3, № 11. – P. 4-15. – DOI: 10.47390/ts-v3i11y2025no1.
MLARakhmonov, Zafar, and Urunbaev, Jasur. “NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY.” Techscience.uz - техника фанлари долзарб масалалри, 3(11), 4-15, 2025. https://doi.org/10.47390/ts-v3i11y2025no1
ChicagoRakhmonov, Zafar, and Urunbaev, Jasur. “NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY.” Techscience.uz - техника фанлари долзарб масалалри, 3(11), 4-15 (2025). https://doi.org/10.47390/ts-v3i11y2025no1
HarvardRakhmonov, Zafar, and Urunbaev, Jasur (2025) ‘NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY’, Techscience.uz - техника фанлари долзарб масалалри, 3(11), 4-15. https://doi.org/10.47390/ts-v3i11y2025no1
BibTeX
@article{rakhmonovzafar2025,
  title = {NUMERICAL SIMULATION OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS AND DENSITY},
  author = {Rakhmonov, Zafar and Urunbaev, Jasur},
  journal = {Techscience.uz - техника фанлари долзарб масалалри},
  year = {2025},
  volume = {3},
  number = {11},
  pages = {4-15},
  doi = {10.47390/ts-v3i11y2025no1},
  url = {https://doi.org/10.47390/ts-v3i11y2025no1}
}

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