# Finite Difference Methods for PDEs

See the attached file.

B. A beam is resting horizontally on the sharp edges of a room with width L, and has a ceiling attached in the shape ....

At time t = 0 the glue releases and the beam

vibrates. Describe the vibration for t > 0 if the situation is described by

...

Boundary and initial values are given by

.....

Hint: Use separation of variables so that .....and choose the coordinates so

....

that x = 0 at height H.

Any Handbook on Mathematics for Engineers can be consulted.

https://brainmass.com/math/finite-element-method/finite-difference-methods-pdes-69648

#### Solution Summary

Finite difference methods for PDEs are investigated and found in the solution. The solution is detailed and well presented.

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