Global Journal of Science Frontier Research, A: Physics and Space Science, Volume 23 Issue 11

© 2023. Dr. Yu. G. Ivanenko. This research/review article is distributed under the terms of the Attribution-NonCommercial- NoDerivatives 4.0 International (CC BY-NC-ND 4.0). You must give appropriate credit to authors and reference this article if parts of the article are reproduced in any manner. Applicable licensing terms are at https://creativecommons.org/ licenses/by-nc- nd/4.0/. Global Journal of Science Frontier Research: A Physics and Space Science Volume 23 Issue 11 Version 1.0 Year 2023 Type: Double Blind Peer Reviewed Interenational Research Journal Publisher: Global Journals Online ISSN: 2249-4626 & Print ISSN: 0975-5896 Analytical Solutions of One-Dimensional Linear Differential Equations of Dynamics of Channel Flows of Semi-Bounded Extent for the Case of Kinematic Waves By Dr. Yu. G. Ivanenko Strictly as per the compliance and regulations of: Abstract- In the article the mathematical problem of hydraulic calculation of parameters of unsteady flow of water flows in the lower reaches of the spillway hydrosystems is considered. An algorithm based on an analytical method for solving a linearized system of one-dimensional partial differential equations of hyperbolic type of channel flow dynamics riverbed process is constructed for a mathematical problem. Control and direct measurement of the characteristics of hydraulic processes in natural conditions are difficult, which requires the use of mathematical modeling and simulation studies of transient processes. Using the theory of the complete integral, a hydraulic calculation of flow rate changes and channel bottom marks in the calculation range. Hydraulic calculation is carried out according to the analytical formulas derived in the work. GJSFR-A Classification: LCC: TC1695, QA372 AnalyticalSolutionsofOneDimensionalLinearDifferentialEquationsofDynamicsofChannelFlowsofSemiBoundedExtentfortheCaseofKinematicWaves