This how I defeated Kane on Master using the Brute loadout that is the newest one you get at this stage of the campaign.
Firstly defeat the other Titan as quickly as you can by setting up your shield and firing into it as much as possible. This gets him out of the way so you can take on Kane. This video starts just as I have done this. The trick is to avoid getting hit. It sounds obvious but a few direct hits will take your health right down. Note where the green energy cells are for when you need them. As soon as your Salvo Core is ready pick your moment and make sure you get a direct hit. Don't save it too long as you should get your Core back again before the fight is over. Dodge around the walls to avoid being hit. Use your Sonar so you can see which way Kane is going. Use your Primary and Secondary weapon while you are protected by your shield and avoid Kane for the rest of the time. When your Core is ready again pick your moment and try to get a direct hit. At this point if you haven't defeated Kane you are not far off.