ISSN:
1573-1634
Keywords:
nonlinear diffusion
;
analytic solutions
;
exact solutions
;
approximations
;
similarity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Technology
Notes:
Abstract A general approximation for the solution of the one-dimensional nonlinear diffusion equation is presented. It applies to arbitrary soil properties and boundary conditions. The approximation becomes more accurate when the soil-water diffusivity approaches a delta function, yet the result is still very accurate for constant diffusivity suggesting that the present formulation is a reliable one. Three examples are given where the method is applied, for a constant water content at the surface, when a saturated zone exists and for a time-dependent surface flux.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006508721609
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