What is the best remedy for cold sores on your tongue?

Time and patience. Cold sores usually run their course in 7-10 days. Stay on a bland diet. Stay hydrated...Drink plenty of water. Take Ibuprofen if needed for pain (as long as you are not allergic or unable to take this medicine). Check with your physician and/or dentist to make sure the sores are not a response to a systemic infection.
Canker sores. Cold sores tend to appear on the outer part of your lips rather than in your mouth.This sounds more like an apthous ulcer, or canker sore. It has a red center with a whitish rim. It can be pretty painful and last a good week or two. Warm salt rinses or rx Peridex (chlorhexidine gluconate) can help. Your dentist can also prescribe apthasol. There are otc products like kanka or zilactin that can reduce pain by coating it.

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What is the best remedy for cold sores on the sides of your tongue?

Diode laser. A diode laser can easily cauterize the nerve endings and accelerate healing. Read more...
Laser treatment. If your dentist has access to a laser like the biolase md laser the lesions can be treated to eliminate pain and decrease the healing time. Read more...