Compute temperature difference using finite element scheme, Physics

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A flat aluminum plate of 0.2 m thickness is initially at 120 Celsius. At time t=0, it is immersed in a liquid at 10 Celsius. Assume a very large heat transfer coefficient on both the surfaces. If one surface is exposed to convection and the other is held at initial temperature, compute the resulting temperature difference using the Finite Element Scheme.

Note: I just want the matlab code and a brief explanation of the governing equation used.

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