Please use this identifier to cite or link to this item: http://hdl.handle.net/11189/3305
Title: Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
Authors: Moitsheki, R.J.
Makinde, Oluwole D
Keywords: Unsteady nonlinear heat diffusion;Thermal energy storage;Classical Lie point symmetries;Group invariant solutions
Issue Date: 2010
Publisher: Elsevier
Source: Moitsheki, R.J. & Makinde, O.D..(2010). Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage. Applied Mathematics and Computation, 216(1): 251–260
Abstract: In this paper, we employed the linear transformation group approach to time dependent nonlinear diffusion equations describing thermal energy storage problem. Symmetry analysis of the governing equation resulted in admitted large Lie symmetry algebras for some special cases of the arbitrary constants and the source term. Some transformations that lead to equations with fewer arbitrary parameters are applied and classical Lie point symmetry methods are employed to analyze the transformed equations. Some symmetry reductions are performed and wherever possible the reduced ordinary differential equations are completely solved subject to realistic boundary conditions.
URI: http://hdl.handle.net/11189/3305
http://dx.doi.org/10.1016/j.amc.2010.01.046
ISSN: 0096-3003
Rights: http://creativecommons.org/licenses/by-nc-sa/3.0/za/
Appears in Collections:Eng - Journal articles (DHET subsidised)

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