Algorithm for the Numerical Solution of the Inverse Problem of Filtration Theory

Abstract

This paper deals with the algorithm for the numerical solution of the inverse problem of determining the permeability of the porous medium equation for unsteady filtration of a homogeneous liquid in an elastic inhomogeneous porous medium. The idea of using the method of modulating functions for the solution of inverse problems goes back to J. Loeb and D. Kahena.