Lets return to Example 7.1 and use explicit Euler to integrate the system of equations with

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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 equationaT at = Q   2 (7.2.1)

subject to the boundary conditionsT(x, t) = 0, T(x, t) = 1 (7.2.2)

as well as an initial condition,T(x,0) = 2; x = (X1, Xr) (7.2.3)

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