Neurontin vs anticonvulsant

Neurontin and anticonvulsant both are nouns.

Word	Noun	Adjective	Verb	Adverb
Neurontin	Yes	No	No	No
anticonvulsant	Yes	No	No	No

As nouns, anticonvulsant is a hypernym of Neurontin; that is, anticonvulsant is a word with a broader meaning than Neurontin:

Neurontin: an anticonvulsant (trade name Neurontin) used to control some types of seizures in the treatment of epilepsy; also used to manage neuralgia caused by shingles
anticonvulsant: a drug used to treat or prevent convulsions (as in epilepsy)

Other hypernyms of Neurontin include anticonvulsant drug, antiepileptic, antiepileptic drug.

Neurontin (noun)	anticonvulsant (noun)
an anticonvulsant (trade name Neurontin) used to control some types of seizures in the treatment of epilepsy; also used to manage neuralgia caused by shingles	a drug used to treat or prevent convulsions (as in epilepsy)