Revolver, .41 Magnum or greater. Preferable something in the .44M, .480Ruger, .454Casull, .475 Linebaugh range. This thing needs to be able to penetrate into the skull or spine and cause instant death or incapacitation. Rifles are always your best bet, but in your situation a big, powerful revolver is probably more practical. Whatever you do, do NOT use AP or other "standard solid" shot. If you must have a solid, go for something like a Garret Bearhammer, Trophy-bonded Bearclaw, or Monolithic Solid. You need something that will cause massive tissue damage and create maximum frontal surface upon impact.
My personal reccomendation would be one of the big S&W heavy revolvers, such as a Model 29, Model 629, or even the Model 500 if you can afford it. If it's a .41 or .44, load it with Barnes X-Rounds: these will give you the penetration of a solid, but will expand to almost 2' frontal upon impact. In the Model 500, go for the 420-grain softnose projectiles.
The big, BIG thing is this: if a bear charges you, the ONLY workable shots are to the head or the spine above the shoulders. Nothing else will stop that Kodiak NOW. Even if you sever the spine below the shoulders it will keep coming, and it'll still have 2 working paws. Heart/lung/shoulder shots will kill it, but it'll take time you won't have. Whatever weapon you pick needs to be one that you can make those shots with in a HURRY.
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