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A Lie symmetry analysis of the heat equation through modified one-parameter local point transformation

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dc.contributor.advisor Manale, J.M.
dc.contributor.author Adams, Conny Molatlhegi
dc.date.accessioned 2015-03-23T07:00:40Z
dc.date.available 2015-03-23T07:00:40Z
dc.date.issued 2014-08
dc.identifier.citation Adams, Conny Molatlhegi (2014) A Lie symmetry analysis of the heat equation through modified one-parameter local point transformation, University of South Africa, Pretoria, <http://hdl.handle.net/10500/18414> en
dc.identifier.uri http://hdl.handle.net/10500/18414
dc.description.abstract Using a Lie symmetry group generator and a generalized form of Manale's formula for solving second order ordinary di erential equations, we determine new symmetries for the one and two dimensional heat equations, leading to new solutions. As an application, we test a formula resulting from this approach on thin plate heat conduction. en
dc.format.extent 1 online resource (ix, 92 leaves)
dc.language.iso en en
dc.subject Heat equation en
dc.subject Partial differential equation en
dc.subject Lie point symmetry en
dc.subject Lie equivalence transformation en
dc.subject Invariant solution en
dc.subject.ddc 515.353
dc.subject.lcsh Heat equation
dc.subject.lcsh Partial differential equations
dc.subject.lcsh Lie algebras
dc.title A Lie symmetry analysis of the heat equation through modified one-parameter local point transformation en
dc.type Dissertation en
dc.description.department Applied Mathematics en
dc.description.degree M.Sc. (Applied Mathematics)


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