Lets return to Example 7.1 and use explicit Euler to integrate the system of equations with = 1 on the domain x [0,

Let’s return to Example 7.1 and use explicit Euler to integrate the system of equations with α = 1 on the domain x ∈ [0, 1].

Example 7.1

Use the method of lines to construct a numerical solution to the onedimensional unsteady heat conduction equation

subject to the boundary conditions

as well as an initial condition,

aT at = Q 2 (7.2.1)