Edge Fade?

What would be the best way to stop off this material so that theres a defined border between it and another material? (I dont mean a gradient) Is there a way to apply maybe a normal dropoff to make it look like the tile is finished? Or is the only way to do this by lining up the material perfectly?

Any help is greatly appreciated!

A good way that also works in real life is to put a static mesh trim there, like so https://www.netrauta.fi/media/catalog/product/cache/1/image/9df78eab33525d08d6e5fb8d27136e95/v/n/vnuplvao35a_1.jpg