We're trying to solve a nonlinear ODE problem using the Runge-Kutta method (4th order). How to see how accurate the solution is?
Since we don't know the exact solution, there is nothing to compare the numerical solution to. We thought about decreasing the step size and comapring solutions for varying step sizes, but I don't think that makes sense since different step sizes give vectors of different lengths as solutions.
Basically, we solved a system of nonlinear ODEs using Runge-Kutta, and don't know how good the solution is. Any suggestions?