Group method analysis of two-dimensional plate in heat flux
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 secon...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203206335 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |