Explicit Numerical Iterative Methods Applied to the Three-Parameter Infiltration Equations
| Main Authors: | Cavalcante, Andre Luis Brasil, Ozelim, Luan Carlos de Sena Monteiro, Swamee, Prabhata Kumar, Rathie, Pushpa Narayan |
|---|---|
| Format: | Article |
| Terbitan: |
, 2013
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| Online Access: |
https://zenodo.org/record/3247057 |
Daftar Isi:
- Finding explicit solutions to the partial differential equations governing the infiltration phenomenon tend to be a challenging issue. On account of such complexity, researchers have proposed algebraic equations to model this phenomenon. This paper deals with the solution of the general three-parameter infiltration equation, which is an implicit equation corresponding to the interpolation between the Green-Ampt and Talsma-Parlange infiltration models. By means of the Householders method, the cumulative infiltration is obtained by a rapidly converging iterative procedure. The results are further manipulated in order to obtain the infiltration rate explicitly. The effect of variables involved on the solution is also discussed. A case study is included to demonstrate the use of the proposed algorithm. The formulas proposed provide easy-to-use equations which enable calculations on the fly while considering practical applications