feign vs simulate

feign and simulate both are verbs.

Word	Noun	Adjective	Verb	Adverb
feign	No	No	Yes	No
simulate	No	No	Yes	No

As verbs, feign and simulate are synonyms defined as:

Other synonyms of feign include assume, sham.

feign (verb)	simulate (verb)
make believe with the intent to deceive	make a pretence of
make a pretence of	create a representation or simulation of
	reproduce someone's behavior or looks