APPROXIMATE METHODS FOR A FREE BOUNDARY PROBLEM OCCURRING IN AXISYMMETRIC FILTRATION
轴对称渗流中自由边界问题的近似解法

In this paper, we discuss a free boundary problem occurring in axisymmetric filtration with nonhomogeneous anisotropic medium, which can be transformed into a mixed boundary value problem for nonlinear elliptic complex equations. By using Newton imbedding method, approximate solutions of the mixed boundary Value problem are obtained, and if proper conditions hold, we have also given error estimates of the approximate solutions.