Is there any special dua’ or Islamic method to stop oneself from masturbation especially when it has reached the level of addiction?

There is no special du'aa to stop. Just try to remember Allah when you think about doing it, or when you are about to start doing it, and when you are finished doing it, knowing that it is displeasing to Him and that what you are doing will be exposed to the creation on the day of judgment. Also fast every other day, and read Qur'an regularly with reflection on its meaning. Ultimately, it will be your consciousness of Allah which will stop you.