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This document presents the matrix form of finite difference schemes for solving partial differential equations numerically. It provides examples of applying central differencing to the 1D linear wave equation, diffusion equation, and periodic wave equation. The equations are written in matrix form as ∂u/∂t + A*u + bc = 0, where A is the matrix of coefficients, u is the vector of unknowns, and bc enforces the boundary conditions.

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ipixuna

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EN