RICHARDS-KLUTE EQUATION’S SOLUTION STABILITY
DOI:
https://doi.org/10.15407/dopovidi2023.06.012Keywords:
Richards-Klute equation, stability, initial conditions, boundary conditionsAbstract
The stability results of the Richards-Klute equation’s solution under perturbations of initial and boundary conditions are provided. The purpose of the article is to establish a priori estimates of the solution’s variation resulting from perturbations in the initial and boundary conditions. The primary finding demonstrates the boundedness of the solution’s variation by a linear function of the variation in the initial and boundary conditions. The case of a nonhomogeneous porous medium is also examined.
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