Explicit and implicit methods: Difference between revisions

Revision as of 12:29, 14 January 2021

Revision as of 18:29, 2 July 2021

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;Forward-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 asand the Forward-Backward Euler method for <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>