Can someone tell me what the point of numerical methods for ODE's is?
Like for instance my prof gave me this question:
Reconstruct the Milne Simpson model: y[n+1]=a*y[n-1]+h(b[-1]*y'[n+1]+b*y'[n]+b*y'[n-1]), (where [ ] denote subscripts)
My prof. taught us the method to solve it and i can solve for the parameters but i dont get whats going on. I never took a ODE course before so that is why i guess i am even more lost. Can someone help me here?