differ vs simulate

differ

verb
  • Not to have the same traits or characteristics; to be unalike or distinct. 

  • To have diverging opinions, disagree. 

  • To be separated in quantity. 

noun
  • A program that diffs, a diff. 

simulate

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

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