Premium
A comparison of techniques for solving the diffusion equation with an exponential diffusivity
Author(s) -
Parlange J.Y.,
Babu D. K.
Publication year - 1976
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr012i006p01317
Subject(s) - sorptivity , exponential function , thermal diffusivity , mathematics , perturbation (astronomy) , mathematical analysis , iterative method , mathematical optimization , physics , thermodynamics , compressive strength , quantum mechanics
A recent solution obtained by Babu when the soil water diffusivity has an exponential behavior is compared with two earlier solutions. It is shown that with a slight modification, Babu's perturbation solution is identical to the iterative solution using Cisler's correction. It is also shown that solutions which optimize the sorptivity and the front position are numerically indistinguishable from either the perturbation or the iterative solution but have in general a much simpler analytical form.