Hello all,

I am dealing with a rather complicated problem (as we all do), without much knowledge in differential equations.
I have coded a numerical solution, taking a straightforward approach: constructing the functions step by step, but I would like to try to achieve better precision.

Any hint about the type of problem I am facing, about relevant solution methods, etc., so that I can start exploring the literature, will be greatly appreciated!

system of piecewise differential equations - Where should I start looking?-problem.gif

Thank you!