He could feel the anger 'boiling up' inside him. [=he could feel himself becoming very angry]
The water in the pot is 'boiling over'. = The pot (of water) is 'boiling over'.
The kettle (of water) is 'boiling'. = The water in the kettle is 'boiling'.
(..) (ALL SHOUTING) (EXCLAIMS) How do you like your tea? - Piping hot? - (ALL SCREAMING) Or boiling? Oh! Mr. Potts! (SCREAMING) Mama! Thank you! (..)2017 Beauty and the Beast