How to capture a time lapse with your smartphone ?

Time-lapse photography is a technique whereby the frequency at which film frames are captured (the frame rate) is much lower than that used to view the sequence. When played at normal speed, time appears to be moving faster and thus lapsing. 

File:GeraniumFlowerUnfurl2.gifFor example, an image of a scene may be captured once every second, then played back at 30 frames per second; the result is an apparent 30 times speed increase. Time-lapse photography can be considered the opposite of high speed photography or slow motion.
The best apps now to make great time-lapse is 

Lapse It

It will allow as much shooting as the device can hold, and if you experience some shake or unexpected interruptions like people waking in front of the shot, you can simply keep going and trim out the time leading up to the problem. 

You can shoot as fast as 10 frames per second, although that's not recommended for longer periods, as the sheer amount of data creates a longer rendering process with little advantage, and has a tendency to create confusion on playback for the device. 

Along with trimming, Lapse It allows a few nice light filters to enhance the image and allows multiple exports of your original image batch so you can fine tune and get the desired result. It even can add music from your collection.
Note that a free version is available for trying out the app, but 
it shoots lower-resolution images.