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

Transport in Porous Media

Volumn 30, Issue 1, 1998, Pages 45-55

  Parlange, J Y ^a   Hogarth, W L ^b   Parlange, M B ^c   Haverkamp, R ^d   Barry, D A ^e   Ross, P J ^f   Steenhuis, T S ^a  

^a Department of Obstetrics Gynecology   (United States)

^b GRIFFITH UNIVERSITY   (Australia)

^c The Johns Hopkins University   (United States)

^d LABORATOIRE DE GLACIOLOGIE ET GÉOPHYSIQUE DE L ENVIRONNEMENT   (France)

^e UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^f CSIRO   (Australia)

Author keywords

Analytic solutions; Approximations; Exact solutions; Nonlinear diffusion; Similarity

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; NONLINEAR EQUATIONS; PHYSICAL PROPERTIES; SOILS; WATER;

NONLINEAR DIFFUSION; SOIL WATER DIFFUSIVITY;

DIFFUSION;

DIFFUSION; EQUATION; SOIL;

EID: 0031861073     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006508721609     Document Type: Article

References (5)

1. Brace, R. R. and Klute, A.: 1956, The measurement of soil-water diffusivity, Soil Sci. Soc. Am. Proc. 20, 458-462.
2. Bratsaert, W.: 1976, The concise formulation of diffusive sorption of water in a dry soil, Water Resour. Res. 12, 1118-1124.
3. Elrick, D. E. and Robin, J. J.: 1981, Estimating the sorptivity of soils, Soil Sci. 132, 127-133.
4. Fujita, H.: 1952, The exact pattern of a concentration-dependent diffusion in a semi-infinite medium, Part II, Textile Res. J. 22, 823-827.
5. Green, W. A. and Ampt, G. A.: 1911, Studies on soil physics. I. The flow of air and water through soils, J. Agric. Sci. 4, 1-24.