Ramon Sessions had 17 points and Kemba Walker 12 for Charlotte, which overcame 36.8 percent shooting to lead twice in the fourth quarter, the last at 79-77 on Jannero Pargo's 3-pointer with 4:04 remaining.
Sessions tied the game 85-all on a free throw with 43.7 seconds left, but missed the second shot. Pargo then missed a 3 with 18 seconds left that would have put the Bobcats ahead.
After Schroder gave Atlanta the lead, Pargo bounced another 3 off the back of the rim at the buzzer.
Check out the top NBA playoff moments from the past week, including Raptors guard Kyle Lowry's half-court shot heard around the Twitterverse and the controversial finish to Game 2 between the Thunder and Spurs.
Brian Windhorst explains that Wednesday's joint statement from the Miami Heat and Chris Bosh, saying that Bosh won't return this postseason, puts both sides on the same page for the first time in a while.
Ian Begley updates the latest on the Knicks' coaching search with Kurt Rambis and David Blatt appearing to be the most attractive options right now, but Phil Jackson would have to reconsider if Frank Vogel is no longer the Pacers coach.