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dc.contributor.authorParlange, JY
dc.contributor.authorHogarth, WL
dc.contributor.authorParlange, MB
dc.contributor.authorHaverkamp, R
dc.contributor.authorBarry, DA
dc.contributor.authorRoss, PJ
dc.contributor.authorSteenhuis, TS
dc.date.accessioned2019-02-07T01:56:32Z
dc.date.available2019-02-07T01:56:32Z
dc.date.issued1998
dc.identifier.issn0169-3913
dc.identifier.urihttp://hdl.handle.net/10072/122226
dc.description.abstractA 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.
dc.description.peerreviewedYes
dc.languageEnglish
dc.publisherKluwer Academic Publishers
dc.publisher.placeNetherlands
dc.publisher.urihttps://link.springer.com/article/10.1023/A:1006508721609
dc.relation.ispartofpagefrom45
dc.relation.ispartofpageto55
dc.relation.ispartofissue1
dc.relation.ispartofjournalTransport in Porous Media
dc.relation.ispartofvolume30
dc.subject.fieldofresearchApplied Mathematics
dc.subject.fieldofresearchChemical Engineering
dc.subject.fieldofresearchCivil Engineering
dc.subject.fieldofresearchcode0102
dc.subject.fieldofresearchcode0904
dc.subject.fieldofresearchcode0905
dc.titleApproximate Analytical Solution of the Nonlinear Diffusion Equation for Arbitrary Boundary Conditions
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Environment
gro.hasfulltextNo Full Text
gro.griffith.authorHogarth, William L.


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