Explicit and implicit methods: Difference between revisions

Revision as of 16:56, 14 April 2007

Revision as of 12:48, 1 May 2007

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yields

: <math>y_{k+1}=y_k-\Delta t y_k^2 \quad \quad \quad(3)\, </math>

for each <math>k=0, 1, \dots, n.</math> WithThis theis backwardan Eulerexplicit methodformula for <math>y_{k+1}</math>.

With the backward Euler method

:<math>\frac{y_{k+1}-y_k}{\Delta t} = - y_{k+1}^2</math>