AN EFFECTIVE NUMERICAL METHOD FOR SOLVING THE RICHARDS-KLUTE EQUATION UNDER THE CONDITION OF MONOTONICITY OF THE SOLUTION

  • V. A. Kolesnykov Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: mathematical modeling, numerical methods, Richards-Klute equation, comparative analysis

Abstract

The article contains new numerical methods for solving the Richards-Klute equation under the condition of monotonicity of the solution.The article contains new numerical methods for solving the Richards-Klute equation under the condition of monotonicity of the solution. Modified numerical methods with tracking of the full saturation zone are proposed to improve efficiency of the finding an approximate solution of the equation process. A comparative analysis of the proposed methods in one- and two-dimensional cases was carried out. The analysis of the estimation of the efficiency improvement of the solving the Richards-Klute equation process was carried out.

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Published
2023-12-10