If you reach your due date and are keen to help your baby arrive there are some natural methods you can try. Do check with your Medical Provider first if they are happy for you to do any of the following as you may have underlying medical conditions where the following may not be recommended.
Sex and Nipple Stimulation
Both help release Oxytocin which can help jumpstart contractions of the uterus. Having an orgasm will release even more Oxytocin.
Acupuncuture and Acupressure
If you see a qualified Acupuncturist trained in Pregnancy they can insert needles into certain points on your body which can help to induce labor. Alternatively you can try doing pressure and circular massage of some of these points yourself known as Acupressure. See the pic below which shows the common points used which can help with inducing labor. Try applying pressure with circular massage to each point for one minute daily.
Gym Ball Bouncing
Some are positive that gym bouncing helps with inducing labor. There is no research to back it but bouncing away while watching the TV can not do any harm in trying.
Primrose and Castor Oil
Speak to your Doctor regarding this before trying but it is said that these oils can help stimulate prostaglandin release which can help ripen the cervix and kickstart the labor.