read a story book (not non-fiction) which gets your imagination going and your eyes tired. Worst comes to worst you might stay awake all night reading but at least you've read an interesting story!
Woah. The painting in your sig. Just woah. That is talent!
OP, coming on the computer won't make you sleep, it will only re-engage your mind. Try listening to some relaxing music and clearing your mind of thoughts. Particularly, don't think about how badly you need to get to sleep. This will only make you stress and stay awake!