Runge kutta method (Variable Step)?

Hi I need help with the Variable Step Runge Kutta method code

Answer 1

[Torsten]

I don't know about the correctness of the code, but it claims to use adaptive time stepping:

https://de.mathworks.com/matlabcentral/fileexchange/85443-runge-kutta-with-adaptive-step-size-ode?s_tid=prof_contriblnk

Do you want to make the error estimate by combining two Runge-Kutta methods of different order or use one Runge-Kutta method with different step size ?

[Torsten]

Then come back when you have a specific question about the code you've written so far.

[MT]

I want make the error estimate by combining two Runge-Kutta methods of different order

[Torsten]

Then make a copy of ODE45 and name it my_code.m.

It's a 4-5 Runge-Kutta code where the error estimate is done by the combination of two Runge-Kutta methods of different order.

[MT]

Thanks!