Heat Conduction with Variable properties

The influence of temperature-dependent thermophysical properties on a circular hollow pipe are considered, in which the temperature of the inside surface of the pipe varies periodically with the time and the heat transfer is accompanied on the outside surface of the pipe. The accuracy of numerical calculations and the propagation of errors of numerical calculations are considered and therefore the forward difference quotient is used as the difference quotient of time and the central difference quotient is used as the co-ordinate difference quotient and the authors accomplish the numerical calculations on the heat conduction problem with which accompanies the variations of thermophysical properties with temperature.