Revision as of 11:39, 20 November 2014 edit 193.136.142.6 (talk) →Two-step Adams–Bashforth ← Previous edit		Revision as of 19:13, 24 November 2014 edit undo Glrx (talk \| contribs) Extended confirmed users, Pending changes reviewers, Rollbackers 29,708 edits m Reverted edits by 193.136.142.6 (talk) to last version by Saung Tadashi Next edit →
Line 49: y_4 &= y_3 + \tfrac32 hf(t_3, y_3) - \tfrac12 hf(t_2, y_2) = 3.7812 + \tfrac32\cdot\tfrac12\cdot3.7812 - \tfrac12\cdot\tfrac12\cdot2.375 = 6.0234. \end{align} </math> The ~~exat~~exact solution at <math> t = t_4 = 2 </math> is <math> \mathrm{e}^2 = 7.3891\ldots </math>, so the two-step Adams–Bashforth method is more accurate than Euler's method. This is always the case if the step size is small enough. ==Families of multistep methods==

Linear multistep method: Difference between revisions