The transient heat transfer analysis of functionally graded (FG) hollow cylinders subjected
to a distributed heat flux with a moving front boundary on its inner surface is presented. The
heat flux is assumed to be axisymmetric, and its front boundary moves along the axis of the
cylinder. A method composed of the finite element and differential quadrature methods is
employed to discretize the governing equations in the spatial domain. After demonstrating
the convergence and accuracy of the method, the effects of different parameters on the temperature distribution and time history of the temperature at different points of FG cylinder
are investigated.