$$
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\half}{\frac{1}{2}}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
$$
Finite difference methods
- The finite difference method is the simplest method
for solving differential equations
- Fast to learn, derive, and implement
- A very useful tool to know, even if you aim at using the finite element
or the finite volume method