5-step BDF
Implicit 5-step method of order 5
Back to index
Stable region in red.
Coefficients
\begin{align} y_{n + 5} - \frac{300}{137} y_{n + 4} + \frac{300}{137} y_{n + 3} - \frac{200}{137} y_{n + 2} + \frac{75}{137} y_{n + 1} - \frac{12}{137} y_{n} = \frac{60}{137}h f(y_{n + 5})\end{align}
Properties
Order of accuracy
: $5$
Stage order
: 5
Radius of absolute monotonicity
: $0$
$A(\alpha)$-stability angle: 103
Zero-stable: True