Heatwave lets you solve heat and wave sheets with three methods: forwarddifference, backwarddifference,
and centraldifference.
With backwarddifference you can take choose very big time steps.
You loose accuracy, but you can quickly get an approximate solution.
However, with forwarddifference choosing a large time step results in an unstable and nonconverging solution.
All of the illustrations on this page were generated by solving the heat equation with rates greater than one half.
1D, rate 1/2 is stable but oscillates.
Equation.
Greater than 0.5 in unstable.
1/2 overshoots.
1/3 works fine.
1/4 looks like an attractive distribution.
2D case max rate is 0.25.
Even backward difference blows up with negative values.
Central difference.
Slicing.
