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 |
| Nashr sanasi | 2025-11-25 |
| Jild | 8 |
| Son | 4 |
| Betlar | 123-128 |
| Til | Ingliz |
| DOI | 10.62132/ijdt.v8i4.312 |
DOI: 10.62132/ijdt.v8i4.312 · Maqolaning asl sahifasi
кросс-диффузия, нелокальное граничное условие, автомодель, cross-diffusion, nonlocal boundary condition, self-similar
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