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

DOI10.1155/2014/527410zbMath1474.35043OpenAlexW2137111774WikidataQ59039174 ScholiaQ59039174MaRDI QIDQ1724329

Saeed M. Ali, Ashfaque H. Bokhari, Fiazud Din Zaman

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/527410

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Quasilinear parabolic equations (35K59) Diffusive and convective heat and mass transfer, heat flow (80A19)

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Cites Work

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• Group classification of fin equation with variable thermal properties
• Steady heat transfer through a two-dimensional rectangular straight fin
• Steady heat transfer through a radial fin with rectangular and hyperbolic profiles
• Steady one-dimensional heat flow in a longitudinal triangular and parabolic fin
• Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity
• Group analysis of nonlinear fin equations
• Applications of symmetry methods to partial differential equations
• Symmetry and integration methods for differential equations
• A note on a symmetry analysis and exact solutions of a nonlinear fin equation
• Similarity analysis of a nonlinear fin equation
• Symmetries and differential equations

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