I'm a volunteer for 350, a grassroots organization that is fighting against climate change through education and advocacy. We're all volunteers, not climate scientists, and I'm looking for some knowledge about the equations that climate scientists use to predict global temperatures with respect to time.
I'm aware that most climate models rely on the Navier-Stokes partial differential equations (Climate Models), but I don't have enough knowledge, nor have I easily found a source online that discusses the resulting approximate solution equations that scientists use to make their predictions. I've only seen graphs.
Do you have any references that contain equations from which one can easily make a prediction of temperature for a given year? (I realize that the derivation of such an equation will be complicated, but I'm not concerned about that.)