One of the app I am working on works fine on Samsung Galaxy Ace and Samsung Galaxy Y but a user reported that app crashes on installation in Samsung Galaxy S3.
Now I am wondering how could a app working well one phone crashes on installation on another phone, what could be the reason for such a crash?
Also how could I replicate the behavior of Samsung Galaxy S3 even when I don't have one and I don't intent to buy one (given the cost of the phone)?
As mentioned by AppMobiGurmeet in his comment, you can start by creating an Android emulator with the same characteristics as the Galaxy S3.
This can be enough to solve simple bugs, but there is really nothing like testing on the real device. As it is impossible for you to test on this phone, I would advise you to implement some crash reporting system in your app, using ACRA for example (a really great library for debugging). This way yuo will see the stack of the crash (which is enough in most cases to understand what is going wrong)