Heat equation: visualisation tool
Consider a thin rod of length with an initial temperature throughout and whose ends are held at temperature zero for all time . The temperature in the rod is determined from the boundary-value problem:
0<x<L and t>0;
t>0;
0<x<L.
In the following simulation, the temperature is graphed as a function of x for various fixed times.
Things to try:
- Change the initial condition u(x,0)=f(x).
- Explore the solutions by clicking on the buttons or type a number to show the graph.