Generalized difference simulation for coupled transport models of unsaturated soil water flow and solute

The generalized difference methods (GDM) have been successfully used in numerical simulations of unsaturated soil water flow problems. The object of this paper is to extend applications of the GDM, that is, apply GDM to numerically solve one-dimensional coupled transport models of unsaturated soil water flow and solute. The semi-discrete and fully discrete generalized difference schemes are established, and the detailed algorithm of numerical approximation schemes is provided. Moreover, some numerical examples illustrate that the generalized difference methods are feasible and efficient to find the numerical solutions of one-dimensional coupled transport models in this paper. Finally, satisfactory results and some other significant and valuable conclusions are obtained from studies.

► Applying GDM to solve one-dimensional coupled models, which has not appeared before. ► The semi-discrete and fully discrete generalized difference schemes are established. ► Numerical examples illustrate that generalized difference methods are feasible and efficient.