The Finite Difference Method - Mechanics of Structures: Variational and Computational Methods - page 514

FIGURE 8.9
The square cross-section and the meshes of Example 8.3.

Use of Eq. (8.26) and these boundary conditions lead to the four linear equations

− 4 ψ + ψ + ψ =− 0 . 22222

2 , 2 2 , 3 3 , 2

ψ − 4 ψ + ψ =− 0 . 22222

2 , 2 2 , 3 3 , 3

(3a)

ψ − 4 ψ + ψ =− 0 . 22222

2 , 2 3 , 2 3 , 3

ψ + ψ − ψ =− .

4 0 22222

2 , 3 3 , 2 3 , 3