try these simple steps , turn of nfc by going into settings -> tap and send -> turn it of, use wifi whenever possible since 2/3g requires lot of battery , close background task ->long press the back button and if you are on black firmware , press the 'X' button each card of app to close it else if you are still on amber keep pressing the back button until you are back on start screen , ; disable the background task that you don't use -> head into settings , swipe right and background task-> black apps that you don't want to run into background; choose a black them whenever possible since white does drain battery(I have noticed this , using the black theme really makes a difference ) and if your phone is new , it might take some time for battery to calibrate itself, will improve battery time as it gets charged .
or just turn on battery saver mode and use twitter
and see a huge difference