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 MethodExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Euler Backward Method." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EulerBackwardMethod.html