This question is about why I'm requested by my teacher to employ numerical methods instead of analytical ones.
The subject I'm writing about is rocket science. The task is to predict the movement of a rocket in 2 dimensions. I understand this is a maths forum, but we'll get there.
I'm able to construct two acceleration equations:
u, g, A, cw, p (rho), dm/dt are all constants while m (mass of the rocket) and vy and vx change depending on the time (speed in vertical and horizontal direction respectively). Since I'm interested in the position functions, I must solve second order differential equations.
I wrote in my project that they are difficult to solve analytically because it's a 'linked/codependent equation system' without really knowing what I was talking about. Basically, I need to understand why it's relevant to use numerical methods instead of analytical ones in this problem.
The subject I'm writing about is rocket science. The task is to predict the movement of a rocket in 2 dimensions. I understand this is a maths forum, but we'll get there.
I'm able to construct two acceleration equations:
u, g, A, cw, p (rho), dm/dt are all constants while m (mass of the rocket) and vy and vx change depending on the time (speed in vertical and horizontal direction respectively). Since I'm interested in the position functions, I must solve second order differential equations.
I wrote in my project that they are difficult to solve analytically because it's a 'linked/codependent equation system' without really knowing what I was talking about. Basically, I need to understand why it's relevant to use numerical methods instead of analytical ones in this problem.