Рақамли технологияларнинг назарий ва амалий масалалари Том 8 № 2 (2025) · с. 124-129

Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions

Рахмонов, З.Р., Урунбаев, Ж.Э.

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Аннотация

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.

кросс-диффузиянелокальное граничное условиеавтомодельCross-diffusionnonlocal boundary conditionself-similar

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APA 7 
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.
GOST R 7.0.5 
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. Т. 8. № 2. С. 124-129.
BibTeX 
@article{з.р.2025,
  author  = {Рахмонов, З.Р. and Урунбаев, Ж.Э.},
  title   = {Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year    = {2025},
  volume  = {8},
  number  = {2},
  pages   = {124-129}
}
RIS 
TY  - JOUR
AU  - Рахмонов, З.Р.
AU  - Урунбаев, Ж.Э.
TI  - Numerical Solution of the Multidimensional Cross-Diffusion Problem with Nonlocal Boundary Conditions
JO  - Рақамли технологияларнинг назарий ва амалий масалалари
PY  - 2025
VL  - 8
IS  - 2
SP  - 124
EP  - 129
ER  -