Рақамли технологияларнинг назарий ва амалий масалалари 8-том 4-нөмір (2025) · 123-128-беттер
Numerical Solutions of Multidimensional Cross-Diffusion Problems with Nonlinear Boundary Conditions and Variable Density
Урунбаев, Ж.Э.
Аңдатпа
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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