Your Report

In your report you should describe how you have chosen the algorithm and the value of $\delta t$ and show that the method you have chosen is stable for this sort of equation and for the range of parameters you have chosen. You should think about the physics of the problem and try to identify the physically interesting parameter combinations. In particular you should ask yourself whether there is a qualitative change of behaviour at some value of the parameters or whether there is a value at which some special behaviour might be observed. Let your physical intuition guide your choice of parameters. If you can't identify the physically interesting values, then start by doing a broad sweep of the meaningful parameters to try to identify any interesting features. Once you have found the interesting parameter ranges you can look at them more closely. Try not to make meaningless changes. If the results can only depend on a particular combination of parameters it is pointless to vary them individually. Your report should contain a representative selection of results and a discussion of the physics which they illustrate. Please include a listing of your program as an appendix well as sending it as an e-mail attachment to Computational-Physics, A. MacKinnon or ph.compphys@ic.ac.uk. Do not send these to my personal e-mail address.