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A perturbation solution for a nonlinear diffusion equation
Author(s) -
Liu Philip L.F.
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/wr012i006p01235
Subject(s) - perturbation (astronomy) , nonlinear system , boundary value problem , diffusion equation , mathematical analysis , fick's laws of diffusion , diffusion , mathematics , physics , thermodynamics , engineering , metric (unit) , operations management , quantum mechanics
Nonlinear diffusion problems with a constant boundary condition are investigated. The concept of diffusion front is utilized to develop a perturbation solution. Results are presented for two specific diffusivities which are functions of the concentrations. The present technique is shown to be efficient and accurate.