How hot is it when it shuts down ? High temps can cause failure in the computer. Try removing dust and try again. If it dosen't work, send the laptop back or buy a new because it's most likely a hardware problem and a laptop is kinda hard to repair compared to normal towers.
- The Brownie
Sorry I may not have been clear it's a desk top. It doesn't appear to be hot but I am going to clean the dust out. And test.