The hosts had a good chance early on through former Bournemouth player James Hayter, but he was unable to connect with the ball after being picked out by Joe Edwards with five minutes played.
Kieffer Moore found space in the box before unleashing an effort at goal which was well kept out by Lee Camp, although moments later the striker managed to rifle an effort past the keeper to give his side the lead.
Lewis Grabban managed to turn inside the opposition area after being played in by Yann Kermorgant with half time drawing near, striking an effort wide with the goal at his mercy.
The Cherries had better luck in the second half, equalising on the hour-mark in bizarre fashion. Byron Webster's clearance cannoned off Ryan Fraser and looped over the returning Marek Stech to make it 1-1.
Bournemouth had a chance to take the lead 15 minutes from time when Brett Pitman and Kermorgant stepped over Matt Ritchie's low cross into the box, but Fraser blasted his effort over the bar.