Derive the expressions for submatrices (boldsymbol{B}_{j}, boldsymbol{D}_{j}, boldsymbol{A}_{j}) in the blocktridiagonal form (8.38) of the matrix equation
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Derive the expressions for submatrices \(\boldsymbol{B}_{j}, \boldsymbol{D}_{j}, \boldsymbol{A}_{j}\) in the blocktridiagonal form (8.38) of the matrix equation for the five-point discretization (8.7) of the two-dimensional Poisson equation. Consider only the blocks corresponding to internal points of the computational domain.
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