I am trying to solve this exercise
the following Runge-Kutta method as a butcher tableau is given:
$$\begin{array}
{c|cccc}
0\\
\frac{1}{2} & \frac{1}{4} &\frac{1}{4}\\
1& 0& 1& 0\\
\hline
& \frac{1}{6} &\frac{2}{3} &\frac{1}{6}
\end{array} $$
(i) Rewrite the Butcher tableau in step form and outline the derivation of the Runge Kutta method using known square formulas
(iii) Apply the step form of the Runga Kutta method to the differential equation.
Best Answer