Explicit and implicit methods: Difference between revisions

Revision as of 17:06, 28 September 2015

Revision as of 15:00, 8 October 2015

Line 18:

;Forward Euler method:

[[File:Forward and backward Euler method.png|thumb|350px|The result of applying the two methods with <math>a = 5</math> and <math>n = 30</math>.]]

The forward [[Euler method]]

:<math>\left(\frac{dy}{dt}\right)_k = \frac{y_{k+1}-y_k}{\Delta t} = - y_k^2</math>