1. Reference problem

1.1. Geometry

1.2. Material properties

\(\lambda =200+T(W/m°C)\)	thermal conductivity
\(\rho C=8\mathrm{.}{10}^{6}(J/{m}^{3}°C)\)	volume heat

1.3. Boundary conditions and loads

\(x=0\)			\(T=200°C\) \(0<t\le 10s\)
			\(T=100°C\) \(t>10s\)
\(x=L\)			\(T=100°C\) \(t\ge 0s\)

1.4. Initial conditions

\(T(x\mathrm{,0})=100°C\) for everything \(x\).