Numerical algorithms for solving elliptic-parabolic problems
Abstract
This paper deals with numerical algorithms for solving elliptic-parabolic problems. An example of such problem is given by the Richards equation for modeling the satured-unsaturated water flow in porous media. We consider a linear model problem and investigate the convergence of two finite-volume schemes. The first one uses the implicit approximation in the whole domain, and the second scheme is constructed using the splitting method. Results of numerical experiments are also given.