Heat the room where the drywall is being installed. If there is no heat in the room, use a space heater. Heat the room before you apply the joint compound and keep it heated as it cures. The joint compound cures best at around 65 F.
Place a running dehumidifier in the room, especially if your location has high humidity. Joint compound takes longer to cure in humid conditions. The more moisture you can remove from the air, the better it is for the curing process.
Set a box fan in the room so it moves air over the newly finished drywall. The movement of the air will help dry the joint compound evenly and more quickly. Use multiple box fans if the area of new drywall is large.