Linear multistep method: Difference between revisions

Revision as of 16:20, 29 November 2018

Revision as of 16:22, 29 November 2018

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y_{n+3} &= y_{n+2} + h\left( \frac{23}{12} f(t_{n+2}, y_{n+2}) - \frac{16}{12} f(t_{n+1}, y_{n+1}) + \frac{5}{12}f(t_n, y_n)\right) , \\

y_{n+4} &= y_{n+3} + h\left( \frac{55}{24} f(t_{n+3}, y_{n+3}) - \frac{59}{24} f(t_{n+2}, y_{n+2}) + \frac{37}{24} f(t_{n+1}, y_{n+1}) - \frac{9}{24} f(t_n, y_n) \right) , \\

y_{n+5} &= y_{n+4} + h\left( \frac{1901}{720} f(t_{n+4}, y_{n+4}) - \frac{13872774}{360720} f(t_{n+3}, y_{n+3}) + \frac{1092616}{30720} f(t_{n+2}, y_{n+2}) - \frac{6371274}{360720} f(t_{n+1}, y_{n+1}) + \frac{251}{720} f(t_n, y_n) \right) .

\end{align} </math>