Abstract
In this paper, we construct a new geometric integration method which is based on the Lie group SL(2,R) to solve the nonlinear longitudinal convective–radiative–conduction fin equation. SL(2,R)-shooting method and related algorithm to find a high accuracy solutions are discussed. Finally, effects of thermal conductivity parameter, surface emissivity parameter, convection–conduction and radiation–conduction parameters are illustrated on the performance of fins.
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