RETRACTED: On a Solution to the Stationary Problem of Two-Phase Filtration by the Monte Carlo Method
Tastanov M. Utemissova A. Maiyer F. Ysmagul R.
2022World Scientific and Engineering Academy and Society
WSEAS Transactions on Mathematics
2022#21386 - 394 pp.
This article is devoted to solving the problems of applying Monte Carlo algorithms to filtration problems. The sphere walk and boundary walk algorithms of Monte Carlo methods are used to solve the stationary problem of filtering two immiscible inhomogeneous incompressible liquids in a porous medium. Estimates constructed using the sphere walk and boundary walk algorithms of Monte Carlo methods will be mostly ε −biased. Unbiased estimates are in most cases unrealizable on a computer, since with a probability of 1 they do not go to the boundary of the region, and therefore are of little use. In practice, they are usually limited to only the first two points of evaluation.
algorithms of wandering on spheres and wandering on borders , continuity equation , derivatives of the solution , Dirichlet problem , estimation of the solution , Markov chains , Monte Carlo method
Text of the article Перейти на текст статьи
Kostanay Regional University named after A. Baitursynov, Kostanay, Kazakhstan
Kostanay Regional University named after A. Baitursynov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026