Approximate analytical solution of the nonlinear diffusion equation for arbitrary boundary conditions

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.

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Transport in Porous Media, 30, 1, 45-55

Note: The status of this file is: Involved Laboratories Only

 Record created 2005-12-09, last modified 2018-01-27

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