They both have the same meaning, but the phrasal verb "meet up" has a slightly more casual feel to it. The "up" part suggests a desired result, in this example. Compare "chat / chat up", "cook / cook up", and so on.
Warning: this meaning I attached to "up" certainly does not apply to all phrasal verbs which use "up". You'll get the proper idea by seeing the phrasal verb in context. Stay flexible.