feign vs simulate

feign

verb
  • To make a false show or pretence of; to counterfeit or simulate. 

  • To hide or conceal. 

  • To make an action as if doing one thing, but actually doing another, for example to trick an opponent; to feint. 

  • To imagine; to invent; to pretend to do something. 

simulate

verb
  • To model, replicate, duplicate the behavior, appearance or properties of. 

How often have the words feign and simulate occurred in a corpus of books? (source: Google Ngram Viewer )