What else is in the tank? Are there plants (live or silk) for him to hide in and make him feel secure? Any other decorations maybe?
If you have the light on, you could try turning it off, a darker environment is more calming for fish.
What kind of food do you have for him? Bettas are carnivorous. There are some great Betta foods available, but you need to read the ingredients list to make sure.
To make him more interested in the food you could try soaking it in garlic juice. It often helps entice finicky eaters. Garlic is also good for his immune-system that may be stressed at the moment, so it would be a win-win!
If you can, try placing the tank where it may get a bit of heat from somewhere or at least where there is no draft and the temperature can stay stable. I also urge you to get a heater for his tank, it is so much better for him!