Mass Transfer Problem with Saturation Limit on Graph

Authors

  • Valerii Kolesnykov Taras Shevchenko University of Kyiv
  • Dmytriy Klyushin Taras Shevchenko National University of Kyiv

DOI:

https://doi.org/10.31713/MCIT.2025.069

Keywords:

mathematical modeling, Richards-Klute equation, numerical methods, graphs

Abstract

This paper contains main results of the research of mass transfer problem in porous medium with saturation limit on graphs. The equation that describes this problem is based on the one-dimensional Richards-Klute equation with additional mass balance equations. Among the results are existence theorem, stability result and effective numerical method for solving equation. 

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Published

2025-11-06

How to Cite

Kolesnykov, V., & Klyushin, D. (2025). Mass Transfer Problem with Saturation Limit on Graph. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (8), 227–228. https://doi.org/10.31713/MCIT.2025.069