I think they're the same, but the method is now purely muscle memory for me and the diagrams on Ian's page don't look familiar.
Edit: Looking around Ian's site, they are different. The method I (and also Matt Parker) use is the "Ian Knot": https://www.fieggen.com/shoelace/ianknot.htm
Then I found what it actually is, it's a doubly slipped square knot, a square knot is right over left and left over right, and slipped versions are usually just finishing with a loop that goes back the way it came, so I can figure it out from the much easier to memorize verbal description.