Рақамли технологияларнинг назарий ва амалий масалалари 8-tom 4-san (2025) · 123-128-betler

Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density

Урунбаев, Ж.Э.

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Annotaciya

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.

кросс-диффузиянелокальное граничное условиеавтомодельcross-diffusionnonlocal boundary conditionself-similar

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APA 7 
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.
GOST R 7.0.5 
Урунбаев, Ж.Э. Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density // Рақамли технологияларнинг назарий ва амалий масалалари. 2025. Т. 8. № 4. С. 123-128.
BibTeX 
@article{ж.э.2025,
  author  = {Урунбаев, Ж.Э.},
  title   = {Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year    = {2025},
  volume  = {8},
  number  = {4},
  pages   = {123-128}
}
RIS 
TY  - JOUR
AU  - Урунбаев, Ж.Э.
TI  - Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density
JO  - Рақамли технологияларнинг назарий ва амалий масалалари
PY  - 2025
VL  - 8
IS  - 4
SP  - 123
EP  - 128
ER  -