4.1 jelly bean - How use call a local server by name rather than IP?

I've started MAMP on my computer and I'd like to make a GET call from Android app. I'd like to access the computer by it's name(e.g. computer.local:8888) rather than the computer's ip.

On the computer if I open Chrome and type computer.local:8888 it works as expected. On the phone this fails, but typing it's local ip (192.168.1.141) works.

So, is it possible to access a local http server by a name rather than ip ? If so, how ?