I think I could handle Walking Dead zombies. If they're like the ones in I Am Legend I'm fucked though.
Classic canon Romero Zombies are more difficult to deal with in some situations than so-called fast zombies of the "I am Legend" or "28 Days Later Variety" who aren't true zombies in the sense that they aren't returned from the dead, but humans infected with a virus.
In the Max Brooks novel, "World War Z" (not the abominable Brad Pitt movie that had nothing in common with the book except the title), when the military tried to confront a horde of several million zombies coming from New York City at the upstate town of Yonkers, they found that conventional artillery and air to ground munitions had negligible affect on the undead hordes because a zombie will get on moving to its objective even if dismembered or even set afire. They feel no pain, no fear, and they will keep moving with the horde until they reach the objective, their dinner - you.
On the other hand, fast-zombies can be dealt with at long range with conventional weapons because once they are dead, they are dead. You can even kill them by isolating them from a food source because, as has been pointed out:
"He's telling me he'll never bake bread, farm crops, raise livestock. He's telling me he's futureless. And eventually he'll tell me how long the infected take to starve to death."
-- Major Henry West
"28 Days Later"
Even the "I Am Legend" zombies (who were vampires in the original 1954 novel) can be killed easier than a Romero Zombie because they are organic beings that require all their metabolic systems to be healthy to survive. They need to breath, and pump blood, and have functioning endocrine, digestive, and nervous systems to be of any threat to us. Chemical weapons would be very effective on those types of zombies.
