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Line 26: :<math>\frac{y_{k+1}-y_k}{\Delta t} = - y_{k+1}^2</math> one finds the implicit equation : <math>y_{k+1}+\Delta t y_{k+1}^2=y_k</math> for <math>y_{k+1}</math> (compare this with formula (3) where <math>y_{k+1}</math> was given explicitly rather than as an unknown in an equation).

Explicit and implicit methods: Difference between revisions