Nigel Pearson believes a penalty decision wrongfully turned down was the key moment in the contest but praised his team's doggedness against a side on the brink of the Premier League.
Chris Martin was clumsily bundled down to the ground by Lloyd Kelly in the second half with Bournemouth 2-1 ahead. 18 minutes later, Siriki Dembele ensured the points would remain on the south coast when he fired in the third.
Rob Atkinson threatened to upset the odds after just four minutes when he met Matty James' corner, thumping his header past the outreaching Mark Travers to send the travelling fans into raptures.