An implicit method for solving an ordinary differential equation that uses in . In the case of a heat equation, for example, this means that a linear system must be solved at each time step. However, unlike the Euler forward method, the backward method is unconditionally stable and so allows large time steps to be taken.

# Euler Backward Method

## See also

Euler Forward Method## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Euler Backward Method."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EulerBackwardMethod.html