Abstract
We construct an algorithm to solve the problem of relief dynamics for a newtonian liquid. The pressure function is determined by the upper relaxation method. The velocity field is found by using a two-step difference algorithm that allows one to simplify the calculations and increase the dimension of the system of finite-difference equations. A theorem on stability of the algorithm with respect to the initial data and on convergence of the numerical solution to the exact solution is proved. Bibliography: 5 titles.
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References
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Additional information
Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 33–39.
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Gryshchenko, O.Y. On an algorithm for a numerical study of the visualization of a holographic relief. J Math Sci 102, 3749–3755 (2000). https://doi.org/10.1007/BF02680228
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DOI: https://doi.org/10.1007/BF02680228