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Solving nonlinear transfer problems in condensed media by sequential approximation methods

https://doi.org/10.1234/2221-7789-2025-2-11-14

EDN: OYMCZG

Abstract

The proposed work is devoted to the study of the boundary value problem for the modified equation of moisture transfer under stochastic conditions. Observations show that the initial information used in the Aller model is not deterministic, but is of a probabilistic nature. The work proposes iterative methods for solving the nonlinear Aller problem

About the Authors

Maria Mushtafarovna Tkhabisimova
Kabardino-Balkarian State University named after Kh.M. Berbekov
Russian Federation

Candidate of Physical and Mathematical Sciences, Associate Professor at the Department of Applied Mathematics and Computer Science at the Institute of Mathematics and Natural Sciences.



Aminat Rasulovna Bechelova
Kabardino-Balkarian State University named after Kh.M. Berbekov
Russian Federation

Candidate of Physical and Mathematical Sciences, Associate Professor, Head of the Department of Applied Mathematics and Computer Science at the Institute of Mathematics and Natural Sciences



References

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4. Тхабисимова М.М., Кудаева Ф.Х., Бечелова А.Р., Карданова М.Р. Решение задач влагопереноса в рамках корреляционной модели методами теории случайных процессов // Сб. XVII Межд. конф. Российская наука в современном мире. М., 2018. С. 146-149.

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Review

For citations:


Tkhabisimova M.M., Bechelova A.R. Solving nonlinear transfer problems in condensed media by sequential approximation methods. Proceedings of the Kabardino-Balkarian State University. 2025;15(2):11-14. (In Russ.) https://doi.org/10.1234/2221-7789-2025-2-11-14. EDN: OYMCZG

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ISSN 2221-7789 (Print)
ISSN 0000-0000 (Online)