INFORMATION PROCESSING IN A NUMERICAL STUDY FOR SOME STOCHASTIC WENTZELL SYSTEMS OF THE HYDRODYNAMIC EQUATIONS IN A BALL AND ON ITS BOUNDARY
Abstract
In this paper we study stochastic Wentzell systems: filtration equations describing fluid filtration processes in a fractured porous medium in a three-dimensional ball and on its boundary; free filtration equations describing the evolution of the free surface of the filtered fluid in a three-dimensional ball and on its boundary. In particular, numerical solutions of the Cauchy problem are constructed for the above systems of Wentzell equations and a description of the processing of the results of $n$ experiments at different values of a random variable having a standard normal distribution is given (confidence intervals according to the rule of three sigma are constructed for the obtained cross sections of the stochastic process describing quantitative changes in the geochemical regime of groundwater under non-pressure filtration and quantitative changes in free fluid filtration).
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