Heun–Euler method (Q98066220)

a one-stage embedded Runge-Kutta method

Language	Label	Description	Also known as
English	Heun–Euler method	a one-stage embedded Runge-Kutta method	Heun-Euler method Heun–Euler Heun-Euler

Statements

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{\begin{aligned}k_{1}&=f(t_{n},y_{n})\\k_{2}&=f(t_{n}+h,y_{n}+hk_{1})\\y_{n+1}&=y_{n}+h\left({\frac {1}{2}}k_{1}+{\frac {1}{2}}k_{2}\right)\\y_{n+1}^{*}&=y_{n}+f(t_{n},y_{n})\end{aligned}}

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{\begin{array}{c|cc}0&\\1&1\\\hline &1/2&1/2\\&1&0\end{array}}

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