Linear multistep method: Difference between revisions

Revision as of 03:38, 12 August 2011

Revision as of 03:12, 26 August 2011

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Euler's method can be viewed as an explicit multistep method for the degenerate case of one step.

This method, applied with step size <math> h = \tfrac12 </math> on the problem <math> y' = yf </math>, gives the following results:

: <math> \begin{align}

y_1 &= y_0 + hf(t_0, y_0) = 1 + \tfrac12\cdot1 = 1.5, \\