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A lazy numerical solution to the diffusion equation
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[QUOTE="Orodruin, post: 5999961, member: 510075"] Not satisfying the CFL condition of course would make your solution unstable. I once taught this to students and made a point out of not telling them about it as I was telling them how to discretise the heat equation. Then I purposely set ##\Delta t## just above the limit for stability to have the resulting animation start out as expected but break down after about ten seconds. That brought down some laughs as I said "... and we see that the solution behaves perfectly as expected ..." at the same time as it started to diverge and a cautionary tale to make sure students would take care to check their stability conditions and not blindly apply numerical recipes. [/QUOTE]
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A lazy numerical solution to the diffusion equation
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