It might be not suitable for the current forum, but it is math-related. Than, I wonder if there is a MATLAB user among us. I currently implement multible degrees of Runge-Kutta methods on mentioned software and wonder if there is a way, if any, to improve operations arithmetic precision of operations on the software.
The image below represents the logarithmic error for the Runge Kutta procedure, which exhibits truncation above $10^{-16}$. For some cases (on the beginning of the method) the solution is so precise it does not present error, although it is known there is. Is there some way to improve precision to make a better graphic for such methods?
