I am doing a science fair project on the Meissner effect and to achieve stability I had to put two cylindrical magnets next to each other (not on top, end to end) because I was levitating a superconductor above a magnet instead of a magnet above a superconductor. If I had been able to use just one magnet the field calculations seem rather straightforward (albeit complicated) but after considerable research, I found almost nothing about how to calculate the magnetic of two cylindrical magnets put end to end to each other forming what amounts to a magnet array. I found one article that described two cylindrical magnets stuck together in this manner as a compound magnet but they didn't do any calculations of the magnetic field.
On Wikipedia on the article "Force Between Magnets" but these equations are for magnets on top of each other. I also found this website https://www.supermagnete.de/eng/faq/How-do-you-calculate-the-magnetic-flux-density, which details the different equations that can be used to calculate individual B fields (magnetic fields), but I am not sure how to apply the equations to multiple magnets.
The magnets I used were the exact same size, this is just a basic diagram of how I arranged my magnets.
My question is if anyone would be able to help me to understand how to go about calculating the magnetic field of these two magnets? I am a high school senior and while I have an advanced math background these equations are very difficult for me to understand. My mom, who is a college math professor, is trying to help me through the mathematics but she doesn't understand the physics behind interacting magnetic fields.