In this study, differential transform method (DTM) is used to evaluate the analytical solution of the non-
linear fin problem with temperature dependent thermal conductivity. Results are presented for the
dimensionless temperature distribution and fin efficiency for a range of values of the problem parame-
ters. Using DTM, the differential equation and related boundary conditions are transformed into a recur-
rence set of equations and finally, the coefficients of power series are obtained based on the solution of
this set of equations. Results of this method are compared with the variational iteration method (VIM)
and numerical solutions. Here, it is shown that the results of DTM are more accurate than the VIM with
lesser calculation cost, which is the main innovation of the current study.
کلید واژگان :
Differential transform method Nonlinear fin Thermal conductivity Temperature distribution
