A lie symmetry classification of a nonlinear fin equation in cylindrical coordinates

Saeed M. Ali; Ashfaque H. Bokhari; F. D. Zaman

doi:10.1155/2014/527410

A lie symmetry classification of a nonlinear fin equation in cylindrical coordinates

Saeed M. Ali, Ashfaque H. Bokhari^*, F. D. Zaman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The nonlinear fin equation in cylindrical coordinates is considered. Assuming a radial variable heat transfer coefficient and temperature dependent thermal conductivity, a complete classification of these two functions is obtained via Lie symmetry analysis. Using these Lie symmetries, we carry out reduction of the fin equation and whenever possible exact solutions are obtained.

Original language	English
Article number	527410
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/527410
State	Published - 2014

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "A lie symmetry classification of a nonlinear fin equation in cylindrical coordinates",

abstract = "The nonlinear fin equation in cylindrical coordinates is considered. Assuming a radial variable heat transfer coefficient and temperature dependent thermal conductivity, a complete classification of these two functions is obtained via Lie symmetry analysis. Using these Lie symmetries, we carry out reduction of the fin equation and whenever possible exact solutions are obtained.",

author = "Ali, \{Saeed M.\} and Bokhari, \{Ashfaque H.\} and Zaman, \{F. D.\}",

year = "2014",

doi = "10.1155/2014/527410",

language = "English",

volume = "2014",

journal = "Abstract and Applied Analysis",

issn = "1085-3375",

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AU - Ali, Saeed M.

AU - Bokhari, Ashfaque H.

AU - Zaman, F. D.

PY - 2014

Y1 - 2014

N2 - The nonlinear fin equation in cylindrical coordinates is considered. Assuming a radial variable heat transfer coefficient and temperature dependent thermal conductivity, a complete classification of these two functions is obtained via Lie symmetry analysis. Using these Lie symmetries, we carry out reduction of the fin equation and whenever possible exact solutions are obtained.

AB - The nonlinear fin equation in cylindrical coordinates is considered. Assuming a radial variable heat transfer coefficient and temperature dependent thermal conductivity, a complete classification of these two functions is obtained via Lie symmetry analysis. Using these Lie symmetries, we carry out reduction of the fin equation and whenever possible exact solutions are obtained.

UR - https://www.scopus.com/pages/publications/84904207358

U2 - 10.1155/2014/527410

DO - 10.1155/2014/527410

M3 - Article

AN - SCOPUS:84904207358

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 527410

ER -

A lie symmetry classification of a nonlinear fin equation in cylindrical coordinates

Abstract

ASJC Scopus subject areas

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