The article considers the problem of constructing self-similar solutions of a system of nonlinear differential equations modeling mutual diffusion processes in multicomponent media. An analysis of a mathematical model taking into account complex interactions of components and the nonlinear nature of transfer processes is carried out. Approximate solutions of the system are found, allowing one to describe the behavior of concentration profiles in various modes. Asymptotic representations of solutions for regular, unlimited and limited cases are obtained, and the behavior of a two-sided linear stationary equation arising at intermediate stages of analysis is studied. The results are of interest for diffusion theory and applied problems of mathematical modeling of complex physical processes.
| Mualliflar | Muminov, S.Y., Муминов, С.Ю. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-09-20 |
| Son | 4 |
| Betlar | 56-64 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.4_68.2025.12 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.4_68.2025.12 · Maqolaning asl sahifasi
mutual diffusion, self-similar solutions, nonlinear differential equations, approximate solution, asymptotic analysis, multicomponent media, scale invariance, stationary equation, mathematical modeling, diffusion processes, взаимная диффузия, автомодельные решения, нелинейные дифференциальные уравнения, приближённое решение, асимптотический анализ, многокомпонентные среды, масштабная инвариантность, стационарное уравнение, математическое моделирование, диффузионные процессы
| APA | Muminov, S.Y., & Муминов, С.Ю. (2025). Construction of a Self-Similar Solution to Mutual Diffusion Problems. Ҳисоблаш ва амалий математика муаммолари, (4), 56-64. https://doi.org/10.71310/pcam.4_68.2025.12 |
|---|---|
| GOST (OAK) | Muminov, S.Y., Муминов, С.Ю. Construction of a Self-Similar Solution to Mutual Diffusion Problems // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4. – P. 56-64. – DOI: 10.71310/pcam.4_68.2025.12. |
| MLA | Muminov, S.Y., and Муминов, С.Ю. “Construction of a Self-Similar Solution to Mutual Diffusion Problems.” Ҳисоблаш ва амалий математика муаммолари, (4), 56-64, 2025. https://doi.org/10.71310/pcam.4_68.2025.12 |
| Chicago | Muminov, S.Y., and Муминов, С.Ю. “Construction of a Self-Similar Solution to Mutual Diffusion Problems.” Ҳисоблаш ва амалий математика муаммолари, (4), 56-64 (2025). https://doi.org/10.71310/pcam.4_68.2025.12 |
| Harvard | Muminov, S.Y., and Муминов, С.Ю (2025) ‘Construction of a Self-Similar Solution to Mutual Diffusion Problems’, Ҳисоблаш ва амалий математика муаммолари, (4), 56-64. https://doi.org/10.71310/pcam.4_68.2025.12 |
| BibTeX | @article{muminovsy2025,
title = {Construction of a Self-Similar Solution to Mutual Diffusion Problems},
author = {Muminov, S.Y. and Муминов, С.Ю.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4},
pages = {56-64},
doi = {10.71310/pcam.4_68.2025.12},
url = {https://doi.org/10.71310/pcam.4_68.2025.12}
} |
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