Turn of iphone facebook when on desktop?

I had an s3 and when i was on my computer i didn't get fb notifications on the phone but with my new iphone 5 i get them regargless and its anoying is there a way to stop this without diabling Wi-Fi or fb notifications in general?
cheers

Unlink your Facebook Account With your Iphone 5 Thats The Only Way To Stop That From Happening