$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
Encouraging numerical solutions
\( I=1 \), \( a=2 \), \( \theta =1,0.5, 0 \), \( \Delta t=1.25, 0.75, 0.5, 0.1 \).
