Once placed, the heat source doesn't move at all. The "movable" part comes in where the point source can be at any arbitrary point inside this rod. Sorry for the confusion.
1. I would like to find and plot the temperature for all points in a 1 dimensional rod of length L, due to a heat source of q placed at point xo where 0<xo<L. The ends of the rod are kept at a constant of 300 Kelvin. The thermal diffusivity constant is a. I'm also looking for the steady state...