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