two dimensional mathematical model of unsteady groundwater flow through non – homogeneous and anisotropic medium using the finite difference method, control volume approach

unsteady flow through non - homogeneous and anisotropic porous media can be modeled by a partial differential equation.' this-equation cannot be solved analytically. hence, numerical methods. such as the finite element and the finite difference methods might be employed. in this study a mathematical model has been developed using the fully implicit finite difference method with control volume approach. the discretized non - linear equations have been solved by the line by line sweeping method with thomas algorithm in four directions. the model has shown a very good convergence, accuracy and consistency' the accuracy of the model h-as been approved by a comparative study with the exact analytical solutions of some well known problems.