Elves, dwarves and humans. Does anyone heal faster?

In LOTR (and also in the Warhammer fantasy universe) elves are immortal while dwarves have very long life spans.

Do elves heal faster than dwarves and do dwarves in turn heal faster than humans?

In LOTR canon, are there any examples of the healing time of the different species being noticeably different?

There may be examples of especially powerful individuals from the different species who heal quicker than regular beings, but I'd be most interested in the comparative healing time of the regular beings.