Explicit and implicit methods: Difference between revisions

Revision as of 23:04, 4 January 2017

Revision as of 12:46, 5 January 2017

Line 45:

;Foward-Backward Euler method:

[[File:Comparison_between_Foward-Backward-Euler_and_Foward-Euler.png|thumb|400px|The result of applying the both, the Forward Euler method as well as the Forward-Backward Euler method <math>a = 5</math> and <math>n = 30</math>.]]

In order to apply the IMEX-scheme, consider a slightly different differential equation:

: <math>\frac{dy}{dt} = y-y^2, \ t\in [0, a]\quad \quad (5)</math>