Loading [MathJax]/extensions/TeX/boldsymbol.js
\newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\Aex}{{A_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\tp}{\thinspace .} \newcommand{\Oof}[1]{\mathcal{O}(#1)} \newcommand{\dfc}{\alpha} % diffusion coefficient

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Forward Euler applied to an initial plug profile

N_x=50 . The method results in a growing, unstable solution if F>0.5 .

Choosing F=0.5 gives a strange saw tooth-like curve.

Lowering F to 0.25 gives a smooth (expected) solution.

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