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dc.creatorSouth, Michael J.
dc.date.available2011-02-18T20:10:58Z
dc.date.issued1995-05
dc.identifier.urihttp://hdl.handle.net/2346/13134en_US
dc.description.abstractThe nonlinear diffusion equation, {w{u)ux)x — Ut, has application in many areas of science and technology. We discuss exact solutions of this equation for three weight functions-w"^, e", and \n{u). We obtain these solutions in each case by "inverting the weight function," that is, we make the substitution v = w{u) and solve the resulting equation for v. Although we do not use similarity techniques, most of our solutions turn out to be similarity solutions-a brief look at similarity methods is presented. The solution we find for ln{u) appears not to have been published.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectPartialen_US
dc.subjectDiffusion processesen_US
dc.subjectDifferential equationsen_US
dc.titleExact solutions in non-linear diffusion
dc.typeThesis
thesis.degree.nameM.S.
thesis.degree.levelMasters
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics and Statistics
dc.degree.departmentMathematicsen_US
dc.rights.availabilityUnrestricted.


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