Euler method

(Difference between revisions)

Revision as of 00:55, 15 November 2005

$\dot \phi = f\left( {t,\phi } \right)$

$\phi ^{n + 1} = \phi ^n + f\left( {t_n ,\phi ^n } \right)$

$\dot \phi = f\left( {t,\phi } \right)$

$\phi ^{n + 1} = \phi ^n + f\left( {t_{n + 1} ,\phi ^{n + 1} } \right)$

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 :<math>\phi ^{n + 1}  = \phi ^n  + f\left( {t_{n + 1} ,\phi ^{n + 1} } \right) </math>
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