Richards-Klute Equation on Graphs

Authors

  • Valerii Kolesnykov Taras Shevchenko University of Kyiv

DOI:

https://doi.org/10.31713/MCIT.2023.018

Keywords:

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

Abstract

This paper contains the formulation of the problem of mass transfer in a porous medium on a graph, on the edges of which the one-dimensional problem of mass transfer is modeled using the Richards-Klute equation. To combine separate Richards-Klute equations into a single system, auxiliary mass balance equations are introduced for the vertices of the graph. Problems of approximation of these equations at the vertices of the graph are also discussed.

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Published

2023-11-22

How to Cite

Kolesnykov, V. (2023). Richards-Klute Equation on Graphs. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (6), 70–72. https://doi.org/10.31713/MCIT.2023.018

Issue

No. 6 (2023): Modeling, control and information technologies: Proceedings of VI International scientific and practical conference

Section

Mathematical, computer modeling and computational methods