Question: The two-dimensional heat equation is solved in a rectangular domain (0

The two-dimensional heat equation is solved in a rectangular domain \(0

$u(x=0, y, t)=f(y, t), u(x=A, y, t)=g(y, t), u(x, y=0, t)=h(x, t)$, $u(x, y=B, t)=p(y, t)$. The ADI scheme is applied. Derive the numerical boundary conditions for the intermediate solution $\tilde{u}$. See the text for a hint how this can be done.

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