I have derived a 2nd order differential equation for the position of a particle. I can turn it into a first order ODE by making it an equation for the velocity of a particle, which is easy to solve. Once I have the velocity (which is a large data vector), what is the best way to numerically get the position?
I am using Heun's method for solving the ODE, but I'm confused how to use it for a 2nd order ODE and how to get the velocity AND the position
I am using Heun's method for solving the ODE, but I'm confused how to use it for a 2nd order ODE and how to get the velocity AND the position
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