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Comparison of Solutions of a Nonlinear Diffusion Equation
Author(s) -
Brutsaert Wilfried,
Weisman Richard N.
Publication year - 1970
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/wr006i002p00642
Subject(s) - nonlinear system , simple (philosophy) , simplicity , mathematics , diffusion equation , diffusion , series (stratigraphy) , infiltration (hvac) , numerical analysis , mathematical analysis , physics , geology , engineering , paleontology , metric (unit) , philosophy , operations management , epistemology , quantum mechanics , thermodynamics
Four solutions of a general nonlinear diffusion equation are given. A numerical analysis serves as reference for one series solution and for two more simple approximate solutions. The accuracy of the methods is discussed and presented graphically; the results of the numerical analysis are given in tabular form. It was found that the usefulness of the two approximate solutions lies in their mathematical simplicity and the accuracy with which they describe infiltration.