Backward Euler

This is a combination of the implicit Backward Euler method and the explicit Forward Euler method. It is a single-step implicit method, which needs one model calculation per time step. With the parameter alpha the combination is defined:

 

alpha

combination

 

 

-1

100% Forward Euler

explicit

 

0

50% Forward Euler, 50 % Backward Euler

explicit

 

1

100% Backward Euler

implicit