I wrote the attached .nb, and ran it. There were no errors, and breaking it down piece by piece, it is taking a very long time to run the InverseFourierTransform component, and I usually abort out of concern. Is it normal for an IFT to take that long, given that the solution for the InverseLaplaceTransform is a complicated function of the Fourier variable?
Is there a good way to hasten things, aside from simply accepting my answer purely in Fourier space?
Attachment: slowcode.nb, URL: ,