Finite Difference Solution

Подпись: / d 2U 9 x2 Подпись: l image4 Подпись: (1.22) (1.23)

Now consider solving the normal mode problem by finite difference approximation. For this purpose, the tube is divided into M equal intervals with a spacing of Ax = L/M as shown in Figure 1.2. l is the spatial index (l = 0 to M). Both second – and fourth-order standard central difference approximation will be used.

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