Hi everyone,
I'm new to this forum, and somehow to Smath as well. I'm no mathematician, so I do apologize from the beginning for all the mistakes and errors and ignorance.
I'm trying to set up an iterative procedure for solving an integral equation, but I cannot see any solution. I've tried to use a FOR cycle as well as a WHILE cycle. With both I can only see the end of the cycle if everything is set up for at most 4 iterations. Anything that involves more than 4 will result in the cycle to take an unreasonable amount of time (not proportional to the time it took for the first 4 iterations). For 4 iterations in takes less than a second, if a set up 6 iterations it takes 40 seconds (10 iterations, is 7 minutes and still counting). Please consider that I need to iterate the cycle for at least 10.000 steps.
The same thing happens if I set a control variable for a WHILE cycle.
Please let me know what is that I'm doing wrong.
Thanks,

Documento2.sm (8kb) downloaded 6 time(s).

Integration comes from integration techniques.
What you call cycle loop is generally a while loop.
It does not need pre-assigned steps.
It auto-stop on the demanded accuracy of result.
Click on Samples, visit Golden Ratio.
Jean

I do apologize as I should have checked previous posts. I see the optimization solution in a recent post. This is definitely solving the point. Please don't fight to each other, maybe even in a non-related answer there is something to learn. Thanks to everyone for your time.

Thanks for confirming it solved.
Your project looks strangely an Isentropic Discharge.
I have such a project for air.
Jean