Opening the scoring, Brandon Montour took a pass from Gustav Forsling and blasted a slap shot from the top of the left circle past Elvis Merzlikins, who was blinded by and outstanding screen from Matthew Tkachuk in front, to put the Panthers up 1-0 at 9:04 of the first period.
With an assist on the play, Forsling recorded the 100th point of his NHL career.
"That story's impressive," Panthers captain Aleksander Barkov said of Forsling. "Picked up from waivers and now he's a top defenseman. He's a really good leader and role model for this team. He works really hard. Every year, he's the most fit guy when he comes here. With his work ethic and dedication to this game, it's no surprise he got to this point. This is just the beginning."
Doubling the lead for the Panthers early in the second period, Tkachuk took a pass from Sam Reinhart and fired a shot from the left circle over Merzlikins' glove and into the far side of the cage to make it 2-0 at 3:47 of the second period with his 14th goal of the campaign.
In terms of fun statistics, here's a good one: Tkachuk has found the back of the net in eight straight games against Columbus. Per NHL PR, that's the longest active such streak by any NHL player, besting both Connor McDavid and Sean Couturier's streaks of seven contests.
Giving the Panthers some padding on the scoreboard heading into the second intermission, Barkov extended his stick to swipe a rebound away from a Blue Jackets player before rifling a wrist shot past a sprawled-out Merzlikins and into the cage to extend the lead to 3-0 at 19:16.
After Sam Reinhart cashed in on an empty net to up the lead to 4-0 at 18:14 of the third period, Bobrovsky kept his shutout intact when he denied Yegor Chinakhov's backhander from in front with 25 seconds left on the clock in regulation.
Improving his record to 6-8-1, the shutout was Bobrovsky's 38th of his career.
"We were trying to focus on the defensive side of the puck," Reinhart said. "When we're doing that, we're having the most success as a group. I thought a little loose early in the defensive end, but Bob made some big saves and kept us in it."