A 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 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 (Ax=2).

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A 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 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 (Ax=2).
Transcribed Image Text:A 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 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 (Ax=2).
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