The Finite Difference Method - Mechanics of Structures: Variational and Computational Methods - page 526

FIGURE 8.14
Displacement pattern of the plate with phase strain in
Example 8.6.

References

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Problems

8.1 Use finite difference approximations to solve the problem

d 2 u
dx 2 +

u = 0 , u ( 0 ) = 1 ,u ( 1 ) = 0

Compare your results with the exact solution.