After solving a heat equation (1 space dimension and the time dimension) with a scheme, if I get different results at the same absolute points of time for different durations of the timestep, does it mean that I have made a mistake?
With my solution I've noticed that my solution settles after a certain amount of iterations (or so it seems), and hence by making the timestep however small I want, it seems like I can make my solution settle after however small amount of time. Am I necesserily making a mistake?