Study guide: Finite difference schemes for diffusion processes

$$ \newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\Aex}{{A_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\tp}{\thinspace .} \newcommand{\Oof}[1]{\mathcal{O}(#1)} \newcommand{\dfc}{\alpha} % diffusion coefficient $$

Demo program

Program: diffu1D_u0.py

Produces animation on the screen

Each frame stored in tmp_frame%04d.png files
tmp_frame0000.png, tmp_frame0001.png, ...

How to make movie file in modern formats:

Terminal> name=tmp_frame%04d.png
Terminal> fps=8  # frames per second in movie
Terminal> avconv -r $fps -i $name -vcodec flv       movie.flv
Terminal> avconv -r $fps -i $name -vcodec libx64    movie.mp4
Terminal> avconv -r $fps -i $name -vcodec libvpx    movie.webm
Terminal> avconv -r $fps -i $name -vcodec libtheora movie.ogg