convalescent vs recovering

convalescent is a noun but recovering is not a noun.

Word	Noun	Adjective	Verb	Adverb
convalescent	Yes	Yes	No	No
recovering	No	Yes	No	No

As adjectives, convalescent and recovering are synonyms defined as:

convalescent and recovering: returning to health after illness or debility

convalescent (noun)	recovering (noun)
a person who is recovering from illness

convalescent (adjective)	recovering (adjective)
returning to health after illness or debility	returning to health after illness or debility