research article
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.
Type
research article
Author(s)
Parlange, J.-Y.
Hogarth, W. L.
Haverkamp, R.
Ross, P. J.
Steenhuis, T. S.
Date Issued
1998
Published in
Volume
30
Issue
1
Start page
45
End page
55
Editorial or Peer reviewed
REVIEWED
Written at
OTHER
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