- Modify your worksheet to
approximate the solution of the initial/boundary value problem obtained
by changing alpha to 2:
Before you begin changing
things, think about what needs to be changed and what can be left alone.
Study the time snapshots of this approximation.
- Now change alpha to
3, so that our equations become
Again, study the time snapshots.
- How does increasing the
constant alpha change the graphical form of the solution of the
initial/boundary value problem? Explain this change in the solution in
terms of the symbolic form of the approximations.
