A heated rod with a uniform heat source can be modeled with the Poisson equation, d2T/dx2 =

Question:

A heated rod with a uniform heat source can be modeled with the Poisson equation,

d2T/dx2 = – ƒ(x)

Given a heat source ƒ(x) = 25 and the boundary conditions, T(x = 0) = 40 and T(x = 10) = 200, solve for the temperature distribution with

(a) The shooting method and

(b) The finite-difference method (Δx = 2).

Distribution
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