In common usage, these words mean the same thing, but scientists often give words specific meanings in order to make their research and ideas less ambiguous.
Definitions are even more important in non-scientific fields such as philosophy or math where meaningful reasoning of abstract structures and ideas would be next to impossible without giving them concrete definitions and stating your assumptions.
Remember that definitions are arbitrary, so to understand an author's argument or idea, you must seek out the author's definitions.
Hopefully that clarifies some of the discussion going on in the comments here.
[1] pre·ci·sion: noun the quality, condition, or fact of being exact and accurate.
[2]ac·cu·rate (of information, measurements, statistics, etc.) correct in all details; exact. "accurate information about the illness is essential" synonyms: correct, precise, exact, right, error-free, perfect; More
But it's inaccurate by many hours because you haven't set it yet.
If you're target shooting, and all of your shots go through the same hole: that's precision.
If that hole is several inches away from the bullseye, it's precise but not accurate.
Do they have different meaning to you? They are the same thing unless there is some scientific meaning that makes them different of which I'm not aware. i.e. Theory in Science means a different thing than what it means to a layman person.