# Heun方法

$y'(t) = f(t,y(t)), \qquad \qquad y(t_0)=y_0,$

$\tilde{y}_{i+1} = y_i + h f(t_i,y_i)$
$y_{i+1} = y_i + \frac{h}{2}(f(t_i, y_i) + f(t_{i+1},\tilde{y}_{i+1})).$

## 参考

1. ^ Süli, Endre; Mayers, David, An Introduction to Numerical Analysis, Cambridge University Press. 2003, ISBN 0-521-00794-1 .
2. ^ Ascher, Uri M.; Petzold, Linda R., Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, Philadelphia: Society for Industrial and Applied Mathematics. 1998, ISBN 978-0-89871-412-8 .
3. ^ Numerical Methods for Solving Differential Equations. San Joaquin Delta College. （原始内容存档于2009-02-12）.