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

Adams, Conny Molatlhegi

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	en
dc.subject.lcsh	Partial differential equations	en
dc.subject.lcsh	Lie algebras	en
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)