Howe’s men were left to rue a slow start as they fell 2-0 behind inside the opening 32 minutes at the Reebok Stadium, goals from Chung-Yong Lee and Lukas Jutkiewicz putting Dougie Freedman’s side firmly in control.
But Cherries responded well and Lewis Grabban’s 30-yard strike just seconds after Jutkiewicz’s goal got the visitors back in the clash.
And after Howe’s charges had dominated the early exchanges in the second period, Simon Francis’s low header midway through the half levelled matters.
Howe, who watched his side weather a late storm from the hosts to claim a point, said: “I felt we deserved to win and we were disappointed not to get three points. It’s mixed emotions really. I felt we passed the ball better than Bolton for the majority of the game and created more chances.
“We were disappointed with their first goal as we switched off for second phase set-piece. Their second goal was a good finish, though.
“We felt if we could get the first goal we would have a good chance to win game but we responded well to going behind and got that second goal which was pleasing.
“We took some heavy beatings early in the season and didn’t respond but we have learned from those games and once we started to believe how good we could be, we saw a good Bournemouth performance today.”
Howe was quick to praise the impact of goalscorer Grabban, who ran Wanderers centre-halves Tim Ream and Matt Mills ragged for most of the afternoon.
Howe added: “Lewis does well up top on his own and I think the role suits him. His work rate and ability to dominate two defenders enables us to dominate the midfield and long may it continue.
“Our bench was stronger today than it has been, too, and it all bodes well for the future.”