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, (6), 70–72. https://doi.org/10.31713/MCIT.2023.018

Issue

No. 6 (2023): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

Copyright (c) 2023 Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.