meteorology vs forecasting

meteorology and forecasting both are nouns.

Word	Noun	Adjective	Verb	Adverb
meteorology	Yes	No	No	No
forecasting	Yes	No	No	No

As nouns, forecasting is a hypernym of meteorology; that is, forecasting is a word with a broader meaning than meteorology:

Other hypernyms of meteorology include foretelling, prediction, prognostication.

meteorology (noun)	forecasting (noun)
the earth science dealing with phenomena of the atmosphere (especially weather)	a statement made about the future
predicting what the weather will be