$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\tp}{\thinspace .}
$$
Plan for the experiments
- Plot \( u^n \) against \( \uex = Ie^{-at} \) for
various choices of the parameters
\( I \), \( a \), \( \Delta t \), and \( \theta \)
- How does the discrete solution compare with the exact solution
when \( \Delta t \) is varied and \( \theta=0,0.5,1 \)?
- Use the decay_mod.py module (little modification of the plotting, see experiments/decay_mod.py)
- Make separate program for running (automating) the experiments (script)
-
python decay_mod.py --I 1 --a 2 --makeplot --T 5 --dt 0.5 0.25 0.1 0.05
- Combine generated figures
FE_*.png, BE_*.png, and CN_*.png
to new figures with multiple plots
- Run script as
python decay_exper0.py 0.5 0.25 0.1 0.05 (\( \Delta t \) values on the command line)
