Dalasoft Limited
Watch the moon day by day ... all the days of the current month Available on the App Store
MoonMonth main screen

MoonMonth is a daily Hijri calendar showing the phase of the moon for each day as well as full month view of the current month.

You can adjust the date in accordance with moon sightings for your area, and the time of the appearance of the Moon from after 12:00 (at 13:00) to after 23:00 (at 00:00).

And, if you want more than the day's moon, you can buy the FullMoon and have a full Hijri calendar for 9999 years before and 9999 years after the Hijra.

The iPhone image above is "live", you can click with your mouse on the tabs at the bottom of the iPhone screen to navigate between the different views: "Moon", "Month", "Setup".