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Group method analysis of two-dimensional plate in heat flux

Author

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  • Mina B. Abd-el-Malek
  • Fayez H. Michael
  • Samy M. A. El-Mansi

Abstract

The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, Ω , placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree n . The Laplace's equation has been reduced to second-order linear ordinary differential equation with an appropriate boundary conditions. Exact solution has been obtained for general shape of Ω and different boundary conditions.

Suggested Citation

  • Mina B. Abd-el-Malek & Fayez H. Michael & Samy M. A. El-Mansi, 2003. "Group method analysis of two-dimensional plate in heat flux," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:589763
    DOI: 10.1155/S0161171203206335
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