Change step size in the integration of diff. equations using modified ...?

[halil4000 (Zharou Fisher)]

Hello everybody,
I want to implement a code for a Changing step size in the integration of differential equations using modified divided differences.

I started to implement a code, but i don’t get the right ideas.

Maybe Someone can help me.

My File is attached.

Equations to code:

[pleasureoffiguring (J. M.)]

You might be interested in the Adams-Bashforth-Moulton implementation in the docs.