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

Description

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. / Applied Mathematics / M. Sc. (Applied Mathematics)

Links & Downloads

1. 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>
2. http://hdl.handle.net/10500/18414

Tags

Heat equation

Partial differential equation

Lie point symmetry

Lie equivalence transformation

Invariant solution

515.353

Heat equation

Partial differential equations

Lie algebras

Additional Fields

Identifer	oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/18414
Date	08 1900
Creators	Adams, Conny Molatlhegi
Contributors	Manale, J. M.
Source Sets	South African National ETD Portal
Language	English
Detected Language	English
Type	Dissertation
Format	1 online resource (ix, 92 leaves), application/pdf