(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

h is the timestep

Y' = F(Y)

Mk,1 = F(Yk)

Mk,2 = F(Yk + 0.5*Mk,1)

Mk,3 = F(Yk + h*Mk,2)

Mk,4 = F(Yk + h*Mk,3)

Yk+1 = Yk + (h/6)*(Mk,1 + 4Mk,2 + Mk,4)

Show that the local error is of fourth order

3. The attempt at a solution

I have written down the fourth order tayler series of Y

and the equation for Runge Kutta k = 0

What I need help with is what order I am supposed to write the tayler series for M4, M3 and M2

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# Homework Help: Runge Kutta and local error

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