An insulated heated rod with a uniform heat source can be modeled with the Poisson

Chapter 24, Problem 24.8

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An insulated heated rod with a uniform heat source can be modeled with the Poisson equation: d2T dx2 = f (x) Given a heat source f (x) = 25 C/m2 and the boundary conditions T (x = 0) = 40 C and T (x = 10) = 200 C, solve for the temperature distribution with (a) the shooting method and (b) the finite-difference method (x = 2).

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