Heat conduction in a stick; double source

This plaster model describes a solution of the heat equation, namely the evolution of temperature in a stick after its two extremities are set to given temperatures. The back-front direction t is time, and the left-right direction $x$ is position on the stick. At any given time, the places of extremal temperature are in green, and the inflection points in red and blue. The analytical solution is $F_2(x,t)=\frac{x\cdot\exp(-x^2/4t)}{2t\sqrt t}.$