diff --git a/tpEdo/tpEquadiffs.md b/tpEdo/tpEquadiffs.md index d5c659a2a9f601dc04f13d112c03f300285c3053..4e21b85be452c3aa65d1534f7dcb8fbcd87a9568 100644 --- a/tpEdo/tpEquadiffs.md +++ b/tpEdo/tpEquadiffs.md @@ -77,10 +77,10 @@ y_{n+1}=y_n+\frac{1}{6}(k_1+2(k_2+k_3)+k_4), $$ où \begin{align} -k_1&=\delta tF(t_n, y_n),\\ -k_2&=\delta tF\left(t_n+\frac{\delta t}{2}, y_n+\frac{k_1}{2}\right),\\ -k_3&=\delta tF(t_n+\frac{\delta t}{2}, y_n+\frac{k_2}{2}),\\ -k_4&=\delta tF(t_n+\delta t, y_n+k_3). +k_1&=\delta tF(y_n, t_n),\\ +k_2&=\delta tF\left(y_n+\frac{k_1}{2}, t_n+\frac{\delta t}{2}\right),\\ +k_3&=\delta tF(y_n+\frac{k_2}{2}, t_n+\frac{\delta t}{2}),\\ +k_4&=\delta tF(y_n+k_3, t_n+\delta t). \end{align} ## L'équation de Lorenz