lecture notes

Linear Advection – Naïve FTCS Scheme
∂ y
∂t
= D ∂2 y
∂ x 2
Figures courtesy of Bernd Freytag
Stencil diagram and (disastrous) test result (initial condition: red,
solution: blue) for explicit Euler scheme (FTCS) with flux at
The oscillations already seen earlier grow exponentially. After
some time the numerical result does not have the faintest
resemblance with the true solution.