iOS Notification based on time of day

I have published a diet planning iOS App. I've had users ask if they could have notifications pop up on there phone when it's time for them to eat a meal. For example, if they set their set their wake up time on the App at 7am, every 3 hours an alert would pop up and remind them to eat, so would be 10am, 1pm, 4pm...

Currently I have not implemented push notifications. I have been ready about iOS Push Notification Services, and I'm thinking that is there an easier way to accomplished this? Some sort of scheduled notification. I feel I shouldn't need any network integration to perform this fairly simple task. Any suggestions are welcome. thank you