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Hey guys, I'm a sophomore in a random engineering school, and just after I was finally getting used to the new school year, my professor decided to give us a little assignment about the 4th order Runge-Kutta methods... and I am totally stuck, and I just don't understand the concept at all..
The assignment is,
(x)`=x^3, and the initial value is x(0) = 1
I'm supposed to compute x(t) for two steps, when x(0.1) and when x(0.2)
and Lastly, I'm to compare this to the Euler's method.
I've been staring at my book for hours, and it says stuff like k and h and n+1 and stuff like that.. Can anyone shed some light into this weird method? The assignment seems simpler than most of the examples I found on the internet but I still can't quite get it..
Thanks in advance =)
The assignment is,
(x)`=x^3, and the initial value is x(0) = 1
I'm supposed to compute x(t) for two steps, when x(0.1) and when x(0.2)
and Lastly, I'm to compare this to the Euler's method.
I've been staring at my book for hours, and it says stuff like k and h and n+1 and stuff like that.. Can anyone shed some light into this weird method? The assignment seems simpler than most of the examples I found on the internet but I still can't quite get it..
Thanks in advance =)