A fully discrete generalized difference formulation and numerical simulation for unsaturated water flow. (Chinese. English summary) Zbl 1240.76037
Summary: A numerical model for an unsaturated soil water flow equation is established with the generalized difference method. The existence and uniqueness of the fully discrete generalized difference solution is proved, and the error estimates of the fully discrete generalized difference solutions are analyzed. Finally, a numerical example is given.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
