Loading [MathJax]/extensions/TeX/boldsymbol.js
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\vex}{{v_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\tp}{\thinspace .}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
Empirical verification of the truncation error (1)
Ideas:
- Compute R^n numerically
- Run a sequence of meshes
- Estimate the convergence rate of R^n
For the Forward Euler scheme:
\begin{equation}
R^n = \lbrack D_t^+\uex + a\uex \rbrack^n
\tag{29}
\tp
\end{equation}
Insert correct \uex(t)=Ie^{-at} (or use method of manufactured solution
in more general cases).
