Dig, dig, dig - I hate ivy and Ive found the only way to fully get rid of it is to dig as much of it out as possible - and watch out for it springing up again

You could also use roundup on, if it is in an area with other plants put some roundup in a bowl put on a thin latex glove then a cotton glove over he top. Dip your gloved fingers in the liquid and stroke on the leaves.