NUMERICAL ALGORITHM FOR FINDING A SOLUTION TO A NONLINEAR FILTRATION MATHEMATICAL MODEL WITH A RANDOM SHOWALTER--SIDOROV INITIAL CONDITION

K. V. Perevozchikova, N. A. Manakova, O. V. Gavrilova, I. M. Manakov

Abstract


The article is devoted to the study of a nonlinear model of fluid filtration based on the stochastic Oskolkov equation. It is assumed that the experimental initial data is affected by <<noise>>, which leads to the study of a stochastic model with the Nelson--Glicklich derivative. Sufficient conditions for the existence of solutions of the investigated model with the initial Showalter--Sidorov condition are constructed.
An algorithm for the numerical solution method is constructed and a computational experiment is presented.


Keywords


Sobolev type equations; stochastic model of nonlinear filtration; Nelson--Glicklich derivative.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


 Save