adomian decomposition method and padé approximation to determine fin efficiency of convective solar air collector in straight fins

in this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using adomian decomposition method and padé approximation(padm) for boundary problems. actual results are then compared with results obtained previously  using digital solution by runge–kuttamethod and a differential transformation method (dtm) in order toverify the  accuracy of the proposed method.