Explicit and implicit methods: Difference between revisions

Revision as of 12:46, 5 January 2017

Revision as of 13:29, 5 January 2017

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: <math>\left(\frac{dy}{dt}\right)_k \approx y_{k+1}-y_{k}^2, \ t\in [0, a]</math>

and therefore

: <math>y_{k+1}=\frac{y_k(1-y_kdty_k\Delta t)}{1-dt\Delta t}. \quad\quad(6)</math>

for each <math>k=0, 1, \dots, n.</math>

==See also==