Study guide: Intro to Computing with Finite Difference Methods

Processing math: 100%

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

Test the understanding!

Make a program for solving Newton's law of cooling $T' = -k(T-T_s),\quad T(0)=T_0,\ t\in (0,t_{\mbox{end}}]$ with the Forward Euler, Backward Euler, and Crank-Nicolson schemes (or a $\theta$ scheme). Verify the implementation.