Study guide: Intro to Computing with Finite Difference Methods

$$ \newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\Aex}{{A_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\Oof}[1]{\mathcal{O}(#1)} $$

Making a test based on an exact discrete solution

The exact discrete solution is $$ \begin{equation} u^n = IA^n \tag{24} \end{equation} $$

Question.

Understand what $ n $ in $ u^n $ and in $ A^n $ means!

Test if $$ \max_n |u^n - \uex(t_n)| < \epsilon\sim 10^{-15}$$

Implementation in decay_verf2.py.