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    Numerical solution of a second order BVP

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    1. Solve the governing equation dealing with the heat transfer phenomena in a heated rod using the Finite Difference method.

    2. The heat transfer problems dealing with the radiation phenomena face nonlinear boundary conditions. Use the shooting method to solve the governing equation.

    3. The governing differential equation for a hot rod under steady - state can be expressed:

    see attached

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    Solution Summary

    The solution contains an analytic solution of the 1D steady state heat equation, and then goes on to solve it using the Shooting method and the Finite difference method and compares between the results.