I have included the below so you can see kind of things you might be doing, but I would not do any of these exercises without talking to a qualified physiotherapist.
These were the 1st set of exercises that I was given to do:
This one involves standing on tip toes whilst leaning against the wall, with both hands in front. At first you will need to use you good leg a lot in order to get on tip toes, but over the course of two weeks, you will find that the bad leg (ruptured Achilles) get stronger, and so by the end of two weeks the load is spread more equally between the 2 legs.
These Achilles strengthening exercises are done in set of 3, say 10 repetitions, followed by 8 repetition and then 6 to finish, with 2 minutes rest between each one.
Walking backwards, or pretending to limp with the other leg, walking sideways . . . these all help fool your brain to in walking normally. You have been limping for months so getting you brain to make you leg work normally is a job in its self.
This one involves rising up on tip toes using both legs. Hands are rested on a counter top / table to take some of the weight, and then you lift you good foot off of the ground allowing your bad leg to take the weight. Remember to keep some weight on your hands. Stay on the bad leg for 3 - 4 seconds and then back down for a 4 second rest before the next repetition.
These Achilles strengthening exercises are done in set of 3, say 10 repetitions, followed by 8 repetition and then 6 to finish, with 2 minutes rest between each one.
Briefly (but smoothly!) transferring weight from foot to foot.
This hard to do at first but it is a nice feeling once you get used to it.