He will be a year old in october.
Syringe or force feeding should be an absolute last resort & can be quite dangerous if not administered properly.
How old is your BD?
How long have you had it?
What have you been trying to feed it?
What is the temp, directly at the Basking Spot?
What size enclosure is it in?
Are you providing UVB?
What type of Substrate?
There can be many reasons why a BD may not eat, answering these questions may provide us with some info, so that we may offer some suggestions. Pics of the setup showing the lighting, etc, would be very helpful.