In reply to s1362083:
The two best alternative methods to a second rope for backing up an abseil have been mentioned already.
1. Double the rope and secure with top rope method (my personal choice).
2. Have a fireman's belay at the bottom (dead-man's hand).
I would recommend the first method as you still have the ability to perform rescues requiring unweighting the rope and do not need a second person.
I cannot under any circumstance recommend using just a prussik backup with novices - too much room for error and ultimately, catastrophe.
Perhaps a tandem abseil if you are confident in setting it up and problem solving on the way down?
Merry Christmas and a Happy New Year. Stay safe out there.