There are more than one type of wyvern, they are fire, poison, lightning, and soon to be a Crystal Wyvern with the Crystal Isles free DLC coming, they are going to be a passive tame. The types of Crystal Wyverns are base, tropical, blood, and ember.
The wyverns spawn in wyvern dens, and can be found in the Highlands for Ragnarok and the Snow Desert in Valguero (I only do free DLCs).
You tame wuverns by going into the wyvern dens and finding nests with eggs in them. Once you have an egg, they need 10-15 standing torches, 4-5 fireplaces, or 20 (atleast) campfires. Until they are adults, they need Wyvern Milk to survive. That is all they eat until then.
Wyvern milk can be obtained by knocking out a female wyvern and collecting milk from there. Alpha wyverns drop more than normal wyverns.
Wyverns pick up larger dinos than other flyers.
Wyverns can breathe fire for fire wyvern, lightning for lighting wyvern, and poison balls for poison wyvern.
I'm assuming if youre looking for tips you have already tried this yourself and it aimt going to well, and even if you haven't tried yet here's a run down.
1. Getting the egg.
Wyvern eggs are not to complicated to get, dont try on an argie or you will die. But on a pteranadon, Griffin, or tropegnathus, you can get as many eggs as you want. I know the tropeo can be annoying to tame but griffins are pretty simple and work fantastically.
Im not sure exactly how many A/C are needed to incubate a wyvern egg but I would set up a minimum of 15. Build the structure 2 walls high so that you can put celings above your A/C units. Place the egg on the celings as if its placed on the floor the wyvern might glitch into the foundations.
The method of getting milk can be tricky so there's always the alternative of getting a Daeodon and setting them to offset the starvation by healing the wyvern. If not just build a trap of 4 behemoth gateways and preferably a keypad.