Goal.
We ask the question
- Under what circumstances, i.e., values of
the input data \( I \), \( a \), and \( \Delta t \) will the Forward Euler and
Crank-Nicolson schemes result in undesired oscillatory solutions?
Techniques of investigation:
- Numerical experiments
- Mathematical analysis
Another question to be raised is
- How does \( \Delta t \) impact the error in the numerical solution?
