Backward Euler

Navigation:  Simulator > Run Properties >

Backward Euler

Previous pageReturn to chapter overviewNext page

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

 

Step Size: the step time of the integration algorithm (default: 0.01).
Relative Tolerance: Relative tolerance for the rootfinding in the Backward Euler method.
Alpha: Choose between Forward Euler (alpha = -1), Trapezoidal (alpha = 0) and Backward Euler (alpha = 1).