You mean how to kill him with resources which can obtain any non super powered being?
1.Assault Rifle equipped with:
Depleted Uranium Bullets
Flamethrower
Grenade Launcher
2.Laser Rifle:
Aim at his hearth, shoot him, the laser will pass through his heart, frying it.
3.Nuclear Strike:
A single nuclear bomb, Wolvie is dead.
4.Massive Trap:
Trick into reaching a place where you've prepared various traps for him:
50 Elitè Mercenaries equipped with the Assault Rifle in point one, a pool full of liquid metal in which Wolverine will be forced to fall thanks to the fireweapons, then fill it with liquid nitrogen at 77°K, then once Wolverine is blocked into that, strike the pool with missiles, rockets, grenades.
5.Massive Trap 2:
50 Elitè Mercenaries equipped with the Assault Rifle modified to hit him with electrical discharges like those of a taser are waiting for Wolverine in an electrical central, they will stun him, then throw his body against a transformator, killing him.
6.Massive Destruction:
You hire 20 Mercenaries to run against Wolverine with 20 trucks into Times Square while Wolverine is walking, blocking all the access to the square, surrounding Wolverine with the trucks, which transports fuel, and are also carring 2tons C4 explosive for each one.
Then the 20 merc will shoot at Wolvie with tasers and flamethrowers, and leave him on the ground watching the detonation killing him.
7.Stab the Logan:
Stun him, then stab him against a wall with knives or poles, then burn up
his body, then make the wall exploding collapsing on Wolverine, if it's not enough and he's still alive, put a grenade into his mouth, or a huge piece of C4 and detonate it.