I reviewed alot of online material to help make Minecraft run faster on my son’s laptop. Much of it was YouTube videos made by nice kids, but most of it was less than helpful. However there was one thing I can across that was actually very useful, and it was this: 25 things you can do to make MineCraft run faster! FULL REDUX!!! Minecraft Blog.
I did most of these things, save put a cat on my son’s laptop, and they made a noticeable improvement in the speed of minecraft on his machine. The more of them you can do, starting from the top, the better improvements you will see. Highly recommended.