The numerical analysis of steady and unsteady conductive temperature distributions of turbine disk and blade is presented as part of HPPSARP project.It consists of two-dimensional (plane and axisymmetric) and three-dimensional problems.This paper gives a summary illustration of its feactures and emphasis on the stability of time recurrence relations in transient computation.A variable weighted coefficient to summarize the different time schemes is proposed in the developed computing program.It is favourable to improve the accuracy and restrain the oscillation in calculation.Some numerical examples are given to verify the characters of different schemes.